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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