#### Chapters

Chapter 2: Rational Numbers

Chapter 3: Fractions (Including Problems)

Chapter 4: Decimal Fractions (Decimals)

Chapter 5: Exponents (Including Laws of Exponents)

Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Chapter 7: Unitary Method (Including Time and Work)

Chapter 8: Percent and Percentage

Chapter 9: Profit, Loss and Discount

Chapter 10: Simple Interest

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Chapter 12: Simple Linear Equations (Including Word Problems)

Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

Chapter 14: Lines and Angles (Including Construction of angles)

Chapter 15: Triangles

Chapter 16: Pythagoras Theorem

Chapter 17: Symmetry (Including Reflection and Rotation)

Chapter 18: Recognition of Solids (Representing 3-D in 2-D)

Chapter 19: Congruency: Congruent Triangles

Chapter 20: Mensuration

Chapter 21: Data Handling

Chapter 22: Probability

## Chapter 3: Fractions (Including Problems)

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 3 Fractions (Including Problems) Exercise 3 (A)

**Classify, the fraction is given below, as decimal or vulgar fraction, proper or improper fraction and mixed fraction: **

`3/5`

**Classify, the fraction is given below, as decimal or vulgar fraction, proper or improper fraction and mixed fraction: **

`11/10`

**Classify, the fraction is given below, as decimal or vulgar fraction, proper or improper fraction and mixed fraction: **

`13/20`

**Classify, the fraction is given below, as a decimal or vulgar fraction, proper or improper fraction and mixed fraction: **`19/10^3`

**Classify, the fraction is given below, as a decimal or vulgar fraction, proper or improper fraction and mixed fraction: **`2 7/10`

**Classify, the fraction is given below, as a decimal or vulgar fraction, proper or improper fraction and mixed fraction: **`23/500`

**Express the following improper fraction as a mixed fraction: **`18/5`

**Express the following improper fraction as a mixed fraction: **`7/4`

**Express the following improper fraction as a mixed fraction: **`25/6`

**Express the following improper fraction as a mixed fraction: **`38/5`

**Express the following improper fraction as a mixed fraction: **`22/5`

**Express the following mixed fractions as improper fractions: **`2 4/9`

**Express the following mixed fractions as improper fractions: **`7 5/13`

**Express the following mixed fractions as improper fractions: **`3 1/4`

**Express the following mixed fractions as improper fractions: **`2 5/48`

**Express the following mixed fractions as improper fractions: **`12 7/11`

**Reduce the given fraction to lowest term **`8/18`

**Reduce the given fraction to lowest term **`27/36`

**Reduce the given fraction to lowest term **`18/42`

**Reduce the given fraction to lowest term **`35/75`

**Reduce the given fraction to lowest term **`18/45`

**State the true or false of the given statement:**

`30/40` and `12/16` are equivalent fractions.

True

False

**State the true or false of the given statement:**

`10/25` and `25/10` are equivalent fractions.

True

False

**State the true or false of the given statement:**

`35/49, 20/28, 45/63` and `100/140` are equivalent fractions.

True

False

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`0/8`

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`(-3)/-8`

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`(5)/-7`

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`(3 3/5)/18`

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`(-6)/(2 2/5)`

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`(3 1/3)/(7 2/7)`

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`(-5 2/9)/5`

**Distinguish of the following fraction, given below, as a simple fraction or a complex fraction: **`(-8)/0`

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 3 Fractions (Including Problems) Exercise 3 (B)

**For the pair, given below, state whether it forms like fraction or unlike fraction: **

`5/8 "and" 7/8`

**For the pair, given below, state whether it forms like fraction or unlike fraction: **

`8/15 "and" 8/21`

**For the pair, given below, state whether it forms like fraction or unlike fraction: **

`4/9 "and" 9/4`

**Convert given fraction into a fraction with equal denominator: **

`5/6 "and" 7/9`

**Convert given fraction into a fraction with equal denominator: **

`2/3, 5/6 "and" 7/12`

**Convert given fraction into a fraction with equal denominator: **

`4/5, 17/20, 23/40 "and" 11/16`

**Convert given fraction into a fraction with equal numerators: **

`8/9 "and" 12/17`

**Convert given fraction into a fraction with equal numerators: **

`6/13, 15/23 "and" 12/17`

**Convert given fraction into a fraction with equal numerators: **

`15/19, 25/28, 9/11 "and" 45/47`

**Put the given fraction in ascending order by making denominator equal:**

`1/3, 2/5, 3/4 "and" 1/6`

**Put the given fraction in ascending order by making denominator equal:**

`5/6, 7/8, 11/12 "and" 3/10`

**Put the given fraction in ascending order by making denominator equal:**

`5/7, 3/8, 9/14 "and" 20/21`

**Arrange the given fraction in descending order by making numerator equal:**

`5/6, 4/15, 8/9 "and" 1/3`

**Arrange the given fraction in descending order by making numerator equal:**

`3/7, 4/8, 5/7 "and" 8/11`

**Arrange the given fraction in descending order by making numerator equal:**

`1/10, 6/11, 8/11 "and" 3/5`

**Find the greater fraction: **

`3/5 "and" 11/15`

**Find the greater fraction: **

`4/5 "and" 3/10`

**Find the greater fraction: **

`6/7 "and" 5/9`

**Find the greater fraction: **

`3/8 "and" 4/9`

**Find the greater fraction: **

`(-2)/7 "and" (-3)/10`

**Insert one fraction between: **

`3/7 "and" 4/9`

**Insert one fraction between: **

`2 "and" 8/3`

**Insert one fraction between: **

`9/17 "and" 6/13`

**Insert three fractions between**

`2/5 "and" 4/9`

**Insert three fractions between**

`1/2 "and" 5/7`

**Insert three fractions between**

`3/8 "and" 6/11`

**Insert three fractions between**

`11/12 "and" 2/3`

**Insert three fractions between**

`4/7 "and" 3/4`

**Insert two fractions between **1 and `3/11`

**Insert two fractions between **`5/9 "and" 1/4`

**Insert two fractions between **`5/6 "and" 1 1/5`

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 3 Fractions (Including Problems) Exercise 3 (C)

**Reduce to a single fraction:**

`1/2 + 2/3`

**Reduce to a single fraction:**

`3/5 - 1/10`

**Reduce to a single fraction:**

`2/3 - 1/6`

**Reduce to a single fraction:**

`1 1/3 + 2 1/4`

**Reduce to a single fraction:**

`1/4 + 5/6 - 1/12`

**Reduce to a single fraction:**

`2/3 - 3/5 + 3 - 1/5`

**Reduce to a single fraction:**

`2/3 - 1/5 + 1/10`

**Reduce to a single fraction:**

`2 1/2 + 2 1/3 - 1 1/4`

**Reduce to a single fraction:**

`2 5/8 - 2 1/6 + 4 3/4`

Simplify: `3/4 xx 6`

Simplify: `2/3 xx 15`

Simplify: `3/4 xx 1/2`

Simplify: `9/12 xx 4/7`

Simplify: `45 xx 2 1/3`

Simplify: `36 xx 3 1/4`

Simplify: `2 div 1/3`

Simplify: `3 div 2/5`

Simplify: `1 div 3/5`

Simplify: `1/3 div 1/4`

Simplify: `- 5/8 div 3/4`

Simplify: `3 3/7 div 1 1/14`

Simplify: `3 3/4 xx 1 1/5 xx 20/21`

Subtract: `2 "from" 2/3`

Subtract: `1/8 "from" 5/8`

Subtract: `-2/5 "from" 2/5`

Subtract: `-3/7 "from" 3/7`

Subtract: `0 "from" -4/5`

Subtract: `2/9 "from" 4/5`

Subtract: `-4/7 "from" -6/11`

Find the value of `1/2 "of" 10 "kg"`

Find the value of `3/5 "of" 1 "hour"`

Find the value of `4/7 "of" 2 1/3 "kg"`

Find the value of `3 1/2` times of 2 meters

Find the value of `1/2 "of" 2 2/3`

Find the value of `5/11 "of" 4/5 "of" 22 "kg"`

**Simplify and reduce to a simple fraction:**

`3/(3 3/4)`

**Simplify and reduce to a simple fraction:**

`(3/5)/7`

**Simplify and reduce to a simple fraction:**

`3/(5/7)`

**Simplify and reduce to a simple fraction:**

`(2 1/5)/(1 1/10)`

**Simplify and reduce to a simple fraction:**

`2/5 "of" 6/11 xx 1 1/4`

**Simplify and reduce to a simple fraction:**

`2 1/4 div 1/7 xx 1/3`

**Simplify and reduce to a simple fraction:**

`1/3 xx 4 2/3 div 3 1/2 xx 1/2`

**Simplify and reduce to a simple fraction:**

`2/3 xx 1 1/4 div 3/7 "of" 2 5/8`

**Simplify and reduce to a simple fraction:**

`0 div 8/11`

**Simplify and reduce to a simple fraction:**

`4/5 div 7/15 "of" 8/9`

**Simplify and reduce to a simple fraction:**

`4/5 div 7/15 xx 8/9`

**Simplify and reduce to a simple fraction:**

`4/5 "of" 7/15 div 8/9`

**Simplify and reduce to a simple fraction:**

`1/2 "of" 3/4 xx 1/2 div 2/3`

A bought `3 3/4` kg of wheat and `2 1/2` kg of rice. Find the total weight of wheat and rice bought.

Which is greater, `3/5` or `7/10` and by how much?

What number should be added to `8 2/3` to `12 5/6`.

What should be subtracted from `8 3/4` to get `2 2/3`.

A field is `16 1/2` m long and `12 2/5` m wide. Find the perimeter of the field.

Sugar costs ₹ `37 1/2` per kg. Find the cost of `8 3/4` kg sugar.

A motorcycle runs `31 1/4` km consuming 1 liter of petrol. How much distance will it run consuming `1 3/5` liter of petrol?

A rectangular park has length = `23 2/3` m and breadth = `16 2/3` m. Find the area?

Each of 40 identical boxes weighs `4 4/5` kg Find the total weight of all the boxes.

Out of 24 kg of wheat, `5/6` th of wheat is consumed. Find, how much wheat is still left?

A rod of length `2 2/5` meter is divided into five equal parts. Find the length of each part so obtained.

If A = `3 3/8` and B = `6 5/8` find:

(i) A ÷ B

(ii) B ÷ A

Cost of `3 5/7` litres of oil is ₹ `83 1/2`. Find the cost of one-litre oil.

The product of two numbers is `20 5/7`. If one of these numbers is `6 2/3`, find the other.

By what number should `5 5/6` be multiplied 1 to get `3 1/3`?

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 3 Fractions (Including Problems) Exercise 3 (D)

Simplify: `6 + {4/3 + (3/4 - 1/3)}`

Simplify: `8 - {3/2 + (3/5 - 1/2)}`

Simplify: `1/4 (1/4 + 1/3) - 2/5`

Simplify: `2 3/4 - [3 1/8 div {5 - (4 2/3 - 11/12)}]`

Simplify: `12 1/2 - [8 1/2 + {9 - (5 - bar(3 - 2))}]`

Simplify: `1 1/5 + {2 1/3 - (5 + bar(2 - 3))} - 3 1/2`

Simplify: `(1/2 + 2/3) div (3/4 - 2/9)`

Simplify: `6/5 "of" (3 1/3 - 2 1/2) + (2 5/21 - 2)`

Simplify: `10 1/8 "of" 4/5 div 35/36 "of" 20/49`

Simplify: `5 3/4 - 3/7 xx 15 3/4 + 2 2/35 div 1 11/25`

Simplify: `3/4 "of" 7 3/7 - 5 3/5 div 3 4/15`

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 3 Fractions (Including Problems) Exercise 3 (E)

A line AB is of length 6 cm. Another line CD is of length 15 cm. What fraction is: The length of AB to that of CD?

A line AB is of length 6 cm. Another line CD is of length 15 cm. What fraction is: `1/2` the length of AB to that of `1/3` of CD?

A line AB is of length 6 cm. Another line CD is of length 15 cm. What fraction is: `1/5` of CD to that of AB?

Subtract `2/7 - 5/21` from the sum of `3/4, 5/7 "and" 7/12`

From a sack of potatoes weighing 120 kg, a merchant sells portions weighing 6 kg, `5 1/4` kg, `9 1/2` kg, and `9 3/4` kg respectively.

(i) How many kg did he sell?

(ii) How many kg is still left in the sack?

If a boy works for six consecutive days for 8 hours, `7 1/2` hours, `8 1/4` hours, `6 1/4` hours + `6 3/4` hrs and 7 hours respectively. How much money will he earn at the rate of Rs. 36 per hour?

A student bought `4 1/3` m of yellow ribbon, 6 1/6 m of red ribbon and `3 2/9` m of blue ribbon for decorating a room. How many meters of ribbon did he buy?

In a business, Ram and Deepak invest `3/5` and `2/5` of the total investment. If Rs. 40,000 is the total investment, calculate the amount invested by each?

Geeta had 30 problems for homework. She worked out `2/5` of them. How many problems were still left to be worked out by her?

A picture was marked at Rs. 90. It was sold at `3/4` of its marked price. What was the sale price?

Mani had sent fifteen parcels of oranges. What was the total weight of the parcels, if each weighed `10 1/2` kg?

A rope is `25 1/2` m long. How many pieces, `1 1/2` each of length can be cut out from it?

The heights of two vertical poles, above the earth’s surface, are `14 1/4` m and `22 1/3` respectively. How much higher is the second pole as compared with the height of the first pole?

Vijay weighed `65 1/2` kg. He gained `1 2/5` kg during the first week, `1 1/4` kg during the second week, but lost `5/16` kg during the 16 third week. What was his weight after the third week?

A man spends `2/5` of his salary on food and `3/10` on house rent, electricity, etc. What fraction of his salary is still left with him?

A man spends `2/5` of his salary on food and `3/10` of the remaining on house rent, electricity, etc. What fraction of his salary is still left with him?

Shyam bought a refrigerator for Rs. 5000. He paid `1/10` of the price in cash and the rest in 12 equal monthly instalments. How much had he to pay each month?

A lamp post has half of its length in mud and `1/3` of its length in water.

(i) What fraction of its length is above the water?

(ii) If `31/3` m of the lamp post is above the water, find the whole length of the lamp post.

I spent `3/5` of my savings and still have Rs. 2,000 left. What were my savings?

In a school, `4/5` of the children are boys. If the number of girls is 200, find the number of boys.

If `4/5` of an estate is worth Rs. 42,000, find the worth of the whole estate. Also, find the value of `3/7` of it.

After going `3/4` of my journey, I find that I have covered 16 km. How much Journey is still left?

When Krishna travelled 25 km, he found that `3/5` of his journey was still left. What was the length of the whole journey?

From a piece of land, one-third is bought by Rajesh and one-third of remaining is bought by Manoj. If 600 m² land is still left unsold, find the total area of the piece of land.

A boy spent `3/5` of his money on buying 1 cloth and `1/4` of the remaining on buying shoes. If initially, he has? 2,400; how much did he spend on shoes?

## Chapter 3: Fractions (Including Problems)

## Selina solutions for Concise Mathematics Class 7 ICSE chapter 3 - Fractions (Including Problems)

Selina solutions for Concise Mathematics Class 7 ICSE chapter 3 (Fractions (Including Problems)) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Concise Mathematics Class 7 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Concise Mathematics Class 7 ICSE chapter 3 Fractions (Including Problems) are Concept for Fraction as an Operator, Concept for Reciprocal of a Fraction, Concept of Fractions.

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