Properties of Multiplication and Division of Fractions Worksheet

In properties of multiplication and division of fractions worksheet you will get different types of questions based on properties of multiplication of fractional numbers and properties of division of fractional numbers.

I. Fill in the boxes using properties of multiplication of fractional numbers.

(i) \(\frac{2}{4}\) × \(\frac{3}{7}\) = \(\frac{3}{7}\) × \(\frac{…..}{…..}\)

(ii) \(\frac{6}{7}\) × \(\frac{1}{5}\) = \(\frac{…..}{…..}\) × \(\frac{6}{7}\)  

(iii) \(\frac{1}{5}\) × \(\frac{…..}{…..}\) = 1\(\frac{1}{6}\) × \(\frac{1}{5}\)

(iv) 2\(\frac{3}{4}\) × \(\frac{2}{7}\) = \(\frac{…..}{…..}\) × 2\(\frac{3}{4}\)

(v) \(\frac{3}{8}\) × 7 = \(\frac{…..}{…..}\) × \(\frac{3}{8}\)

(vi) 9 × \(\frac{3}{5}\) = \(\frac{…..}{…..}\) × 9

(vii) 4\(\frac{1}{9}\) × \(\frac{…..}{…..}\) = 2\(\frac{1}{4}\) × 4\(\frac{1}{9}\)

(viii) 3\(\frac{1}{4}\) × 1\(\frac{1}{13}\) = 1\(\frac{1}{13}\) × \(\frac{…..}{…..}\)

(ix) \(\frac{2}{7}\) × \(\frac{…..}{…..}\) = 0

(x) 0 × 3\(\frac{3}{8}\) = \(\frac{…..}{…..}\)

(xi) \(\frac{3}{14}\) × \(\frac{…..}{…..}\) = \(\frac{3}{14}\)

(xii) 1\(\frac{3}{8}\) × \(\frac{…..}{…..}\) = 1\(\frac{3}{8}\)

(xiii) \(\frac{1}{14}\) × \(\frac{…..}{…..}\) = 1

(xiv) \(\frac{6}{7}\) × \(\frac{…..}{…..}\) = 1

(xv) \(\frac{2}{5}\) × \(\frac{…..}{…..}\) = 1

(xvi) 1\(\frac{3}{8}\) × \(\frac{…..}{…..}\) = 1

(xvii) \(\frac{…..}{…..}\) × 1\(\frac{2}{5}\) =0

(xviii) 3\(\frac{3}{11}\) × \(\frac{…..}{…..}\) = 0

(xix) \(\frac{1}{7}\) × (\(\frac{1}{9}\) × \(\frac{1}{11}\)) = (\(\frac{1}{7}\) × \(\frac{…..}{…..}\)) × \(\frac{1}{11}\) = \(\frac{…..}{…..}\) × (\(\frac{1}{7}\) × \(\frac{1}{11}\))

(xx) 4\(\frac{3}{7}\) × (\(\frac{2}{5}\) × 1\(\frac{1}{3}\)) = (4\(\frac{3}{7}\) × 1\(\frac{1}{3}\)) × \(\frac{…..}{…..}\) = (\(\frac{2}{5}\) × \(\frac{…..}{…..}\)) × 1\(\frac{1}{3}\)

(xxi) 1\(\frac{1}{7}\) × (2\(\frac{3}{8}\) × 4\(\frac{5}{9}\)) = (\(\frac{…..}{…..}\) × 4\(\frac{5}{9}\)) × 2\(\frac{3}{8}\) = (1\(\frac{1}{7}\) × \(\frac{…..}{…..}\)) × 4\(\frac{5}{9}\)

II. Simplify using properties of division of fractional numbers.

(i) \(\frac{2}{19}\) ÷ 1

(ii) \(\frac{3}{8}\) ÷ \(\frac{3}{8}\)

(iii) 0 ÷ \(\frac{2}{19}\)

(iv) \(\frac{3}{21}\) ÷ 0

(v) \(\frac{4}{37}\) ÷ 1

(vi) 0 ÷ \(\frac{13}{27}\)

(vii) \(\frac{14}{57}\) ÷ \(\frac{14}{57}\)

(viii) \(\frac{49}{73}\) ÷ 0

(ix) 2\(\frac{1}{9}\) ÷ \(\frac{19}{9}\)

(x) \(\frac{19}{48}\) ÷ 1

(xi) 0 ÷ \(\frac{93}{73}\)

(xii) \(\frac{81}{91}\) ÷ \(\frac{81}{91}\)

(xiii) \(\frac{81}{13}\) ÷ 0

(xiv) 2\(\frac{13}{15}\) ÷ 0

(xv) 1\(\frac{3}{8}\) ÷ \(\frac{11}{8}\)

(xvi) 2\(\frac{4}{5}\) ÷ \(\frac{7}{5}\)

Properties of Multiplication and Division of Fractions Worksheet Answer:

I. (i) \(\frac{2}{4}\) 

(ii) \(\frac{1}{5}\)

(iii) 1\(\frac{1}{6}\)

(iv) \(\frac{2}{7}\)

(v) 7 

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

(vii) 2\(\frac{1}{4}\)

(viii) 3\(\frac{1}{4}\)

(ix) 0

(x) 0

(xi) 1

(xii) 1

(xiii) 1

(xiv) \(\frac{7}{6}\)

(xv) \(\frac{5}{2}\)

(xvi) \(\frac{8}{11}\)

(xvii) 0

(xviii) 0

(xix) \(\frac{1}{9}\), \(\frac{1}{9}\)

(xx) \(\frac{2}{5}\), 4\(\frac{3}{7}\)

(xxi) 1\(\frac{1}{7}\), 2\(\frac{3}{8}\)

II. (i) \(\frac{2}{19}\)

(ii) 1

(iii) 0

(iv) not possible

(v) \(\frac{4}{37}\)

(vi) 0

(vii) 1

(viii) not possible

(ix) 1

(x) \(\frac{19}{48}\)

(xi) 0

(xii) 1

(xiii) not possible

(xiv) not possible

(xv) 1

(xvi) 2

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