Worksheet on Properties of Multiplication of Fractional Numbers

Using the properties of multiplication we will solve the different questions given in the worksheet on properties of multiplication of fractional numbers.

The properties of multiplication of fractional numbers are:

(i) changing the order of fractional numbers does not change the product.

(ii) fraction multiplied by 1 is the fraction itself

(iii) fraction multiplied by 0 is zero

I. Fill in the blanks:

(i) \(\frac{1}{7}\) × ____ = 1

(ii) \(\frac{1}{13}\) × 13 = ____

(iii) \(\frac{3}{5}\) × ____ = 1

(iv) ____ × \(\frac{5}{11}\) = 1

(v) \(\frac{7}{19}\) × ____ = 1

II. Multiply the following fractions:

(i) \(\frac{5}{9}\) × 0

(ii) \(\frac{21}{4}\) × 0

(iii) \(\frac{7}{9}\) × 1

(iv) 5 × 2\(\frac{1}{4}\)

(v) \(\frac{7}{8}\) × 4\(\frac{1}{2}\)

(vi) \(\frac{7}{5}\) × 6\(\frac{2}{5}\)

III. Using the properties of multiplication, fill in the blanks:

(i) \(\frac{5}{2}\) × \(\frac{1}{3}\) = \(\frac{1}{3}\) × ____

(ii) \(\frac{15}{11}\) × \(\frac{18}{3}\) = \(\frac{18}{3}\) × ____

(iii) 11\(\frac{1}{9}\) × 14\(\frac{2}{5}\) = 14\(\frac{2}{5}\) × ____

(iv) 24\(\frac{1}{6}\) × 6\(\frac{7}{34}\) = 6\(\frac{7}{34}\) × ____

(v) \(\frac{4}{7}\) × \(\frac{13}{29}\) × \(\frac{15}{8}\) = \(\frac{15}{8}\) × \(\frac{13}{29}\) × ____

(vi) \(\frac{11}{5}\) × \(\frac{1}{17}\) × \(\frac{3}{4}\) = \(\frac{3}{4}\) × \(\frac{11}{5}\) × ____

Answers for the worksheet on properties of multiplication of fractional numbers are given below.

Answers:

I. (i) 7

(ii) 1

(iii) \(\frac{5}{3}\)

(iv) \(\frac{11}{5}\)

(v) \(\frac{19}{7}\)

II. (i) 0

(ii) 0

(iii) \(\frac{7}{9}\)

(iv) \(\frac{45}{4}\)

(v) \(\frac{63}{16}\)

(vi) 8\(\frac{24}{25}\)

III. (i) \(\frac{5}{2}\)

(ii) \(\frac{15}{11}\)

(iii) 11\(\frac{1}{9}\)

(iv) 24\(\frac{1}{6}\)

(v) \(\frac{4}{7}\)

(vi) \(\frac{1}{17}\)

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