# Multiplication of Fraction - Multiplication of a Fraction by a Whole Number

## Notes

### Multiplication of a Fraction by a Whole Number:

Observe the following pictures,

Each shaded part is 1/4 part of a square.

They will represent 1/4 + 1/4 + 1/4 = 1/4 xx 3

Combining the three shaded parts, we get 3/4 part of a square.

Similarly,

Each shaded part is 2/9 part of a square.

They will represent 2/9 + 2/9 + 2/9 = 2/9 xx 3

Combining the three shaded parts, we get 6/9 = 2/3 part of a square.

## 1. Multiplication of a whole number with a proper or an improper fraction:

To multiply a whole number with a proper or an improper fraction, we multiply the whole number with the numerator of the fraction, keeping the denominator the same.

5 xx 2/3 = (2 xx 5)/3 = 10/3.

3 xx 1/2 = (3 xx 1)/2 = 3/2.

3 xx 2/7 = (3 xx 2)/7 = 6/7.

4 xx 3/5 = (4 xx 3)/5 = 12/5.

The fractions that we considered till now, i.e., 1/2, 2/3, 2/7, and 3/5 were proper fractions.

2 xx 5/3 = (2 xx 5)/3 = 10/3.

3 xx 7/2 = (3 xx 7)/2 = 21/2.

5 xx 5/5 = (5 xx 5)/5 = 5/1.

#### 2. Multiplication Of A Whole Number With A Mixed Fraction:

To multiply a mixed fraction to a whole number, first convert the mixed fraction to an improper fraction and then multiply.

1) 3 xx 3 7/2 = 3 xx (2 xx 3 + 7)/2 = 3 xx 13/2 = 39/2 = 19 1/2.

2) 7 xx 2 3/5 = 7 xx (5 xx 2 +3)/5 = 7 xx 13/5 = 91/5 = 18 1/5.

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Multiplication Of Whole Numbers By Fraction [00:06:29]
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