**Multiplying fractions by whole numbers :**

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

For example,

2 x 3/5 = 6/5

3 x 7/11 = 21/11

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

For example,

4 x 3 4/7 = 4 x 25/7 = 100/7 = 14 2/7

**Example 1 :**

Find 4 x 1/7

**Solution : **

4 x 1/7 = 4/7

**Example 2 :**

Find : 1/4 of 2 1/5

**Solution : **

1/4 of 2 1/5 = 1/4 x 2 1/5

1/4 of 2 1/5 = 1/4 x 11/5

1/4 of 2 1/5 = 11/20

**Example 3 :**

In a group of 60 students 3/10 of the total number of students like to study Science, 3/5 of the total number like to study Math.

(i) How many students like to study Science ?

(ii) How many students like to study Math ?

**Solution : **

(i) Out of 60 students, 3/10 of the students like to study Math.

Thus, the number of students who like to study Science is

= 3/10 of 60

= 3/10 x 60

= 18

(ii) Out of 60 students, 3/5 of the students like to study Math.

Thus, the number of students who like to study Math is

= 3/5 of 60

= 3/5 x 60

= 3 x 12

= 36

**Example 4 :**

A car runs 20 miles using 1 liter of petrol. How much distance will it cover using 2 3/4 liters of petrol ?

**Solution : **

No. of miles covered in 1 liter of petrol = 20

Thus, no. of miles covered in 2 3/4 liters of petrol is

= 2 3/4 of 20 miles

= 2 3/4 x 20 miles

= 11/4 x 20 miles

= 55 miles

After having gone through the stuff given above, we hope that the students would have understood "Multiplying fractions by whole numbers".

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