Advertisements
Advertisements
Question
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`11/16` ______ `14/15`
Options
>
<
=
Advertisements
Solution
`11/16 underlinebb(<) 14/15`
Explanation:
In order to compare fractions with different denominators, we will convert them to like fractions.
LCM of 16 and 15
| 2 | 16, 15 |
| 2 | 8, 15 |
| 2 | 4, 15 |
| 2 | 2, 15 |
| 3 | 1, 15 |
| 5 | 1, 5 |
| 1, 1 |
∴ LCM of 16 and 15 = 2 × 2 × 2 × 2 × 3 × 5 = 240
Now, converting each of the given fractions to an equivalent fractions with denominators 240.
`(11 xx 15)/(16 xx 15) = 165/240` and `(14 xx 16)/(15 xx 16) = 224/240`
Clearly, `224/240 > 165/240`
∴ `11/16 < 14/15`
APPEARS IN
RELATED QUESTIONS
Find an equivalent fraction with denominator 18, for the following fraction.
`7/9`
Find an equivalent fraction with denominator 5, for the following fraction.
`6/15`
Find two equivalent fraction for the following fraction.
`7/9`
The fraction which is not equal to `4/5` is ______.
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`12/75` ______ `32/200`
Nazima gave `2 3/4` litres out of the `5 1/2` litres of juice she purchased to her friends. How many litres of juice is left with her?
The fish caught by Neetu was of weight `3 3/4` kg and the fish caught by Narendra was of weight `2 1/2` kg. How much more did Neetu’s fish weigh than that of Narendra?
Write a pair of fractions whose sum is `7/11` and difference is `2/11`.
Write the fractions and pair up the equivalent fractions from each row.
(a) |
(I) |
(b) |
(ii) |
(c) |
(iii) |
(d) |
(iv) |
(e) |
(v) |
The following fraction represents just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
- `2/12`
- `3/15`
- `8/50`
- `16/100`
- `10/60`
- `15/75`
- `12/60`
- `16/96`
- `12/75`
- `12/72`
- `3/18`
- `4/25`
