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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