Worksheet on Multiplication of Fractional Number by a Whole Number

We will practice the questions given in the worksheet on multiplication of fractional number by a whole number. We know to multiply a fraction by a whole number, the numerator of the fraction is multiplied by the whole number to get the numerator and the denominator does not change.

I. Multiply the following:

(i) $\frac{1}{6}$ by 9

(ii) $\frac{7}{12}$ by 4

(iii) $\frac{7}{10}$ by 5

(iv) $\frac{13}{20}$ by 25

(v) $\frac{17}{19}$ by 38

II. Find the product of the following:

(i) 2 × $\frac{3}{4}$

(ii) 3 × $\frac{2}{3}$

(iii) 4 × $\frac{1}{2}$

(iv) 8 × $\frac{3}{10}$

(v) 3 × $\frac{2}{5}$

(vi) 5 × $\frac{1}{4}$

III. Fill in the blanks:

(i) $\frac{3}{5}$ × ____ = $\frac{12}{5}$

(ii) $\frac{4}{7}$ × 2 = ____

(iii) $\frac{9}{11}$ × 2 = $\frac{.....}{11}$

IV. Multiply the following:

(i) 4$\frac{5}{12}$ by 16

(ii) 8$\frac{3}{15}$ by 30

(iii) 17$\frac{1}{5}$ by 5

(iv) 4$\frac{1}{2}$ by 16

(v) 7$\frac{1}{12}$ by 9

(vi) 6$\frac{2}{3}$ by 7

Answers for the worksheet on multiplication of fractional number by a whole number are given below.

Answers:

I. (i) $\frac{3}{2}$ or 1$\frac{1}{2}$

(ii) $\frac{7}{3}$ or 2$\frac{1}{3}$

(iii) $\frac{7}{2}$ or 3$\frac{1}{2}$

(iv) $\frac{65}{4}$ or 16$\frac{1}{4}$

(v) 34

II. (i) $\frac{3}{2}$

(ii) 2

(iii) 2

(iv) $\frac{12}{5}$

(v) $\frac{6}{5}$

(vi) $\frac{5}{4}$

III. (i) 4

(ii) $\frac{8}{7}$ or 1$\frac{1}{7}$

(iii) 18

IV. (i) $\frac{212}{3}$ or 70$\frac{2}{3}$

(ii) 246

(iii) 86

(iv) 72

(v) $\frac{255}{4}$ or 63$\frac{3}{4}$

(vi) 43$\frac{1}{13}$

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