I-1-1-3- ii-3-3-5- iii-5-12-1-16- iv-21-16-7-8 - v-0-4-7 - vi-8-5-24-25- vii-3-4-9- viii-3-4-5-12 - ix-5-10-11 - x-7-11-3-44

(i) 1÷1/3 =1×3/1=3 (ii) 3÷3/5 = 3×3/5=1×5/1×1=5 (iii) 5/12÷1/16 = 5/12×16/1 = 5×4/3×1= 20/3= 55/3 (iv) 21/16÷( 7/8 ) = 21/16×8/ 7 =3×1/2×1=3/2=11/2 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication and Division of Rational Numbers

i 1÷1/3 ii 3...

Question

$(i) 1 \div \frac{1}{3} (i i) 3 \div \frac{3}{5} (i i i) - \frac{5}{12} \div \frac{1}{16} (i v) - \frac{21}{16} \div (\frac{- 7}{8}) (v) 0 \div (- \frac{4}{7}) (v i) \frac{8}{- 5} \div \frac{24}{25} (v i i) - \frac{3}{4} \div (- 9) (v i i i) ‘ \frac{3}{4} \div (- \frac{5}{12}) (i x) - 5 \div (- \frac{10}{11}) (x) \frac{- 7}{11} \div (\frac{- 3}{44})$

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Solution

$(i) 1 \div \frac{1}{3} = 1 \times \frac{3}{1} = 3 (i i) 3 \div \frac{3}{5} = 3 \times \frac{3}{5} = \frac{1 \times 5}{1 \times 1} = 5 (i i i) - \frac{5}{12} \div \frac{1}{16} = - \frac{5}{12} \times \frac{16}{1} = \frac{- 5 \times 4}{3 \times 1} = \frac{- 20}{3} = - 5 \frac{5}{3} (i v) - \frac{21}{16} \div (\frac{- 7}{8}) = - \frac{21}{16} \times \frac{8}{- 7} = \frac{3 \times 1}{2 \times 1} = \frac{3}{2} = 1 \frac{1}{2} (v) 0 \div (- \frac{4}{7}) 0 \times (- \frac{7}{4}) = 0 (v i) \frac{8}{- 5} \div \frac{24}{25} = \frac{8}{- 5} \times \frac{25}{24} = \frac{2 \times 5}{(- 1) \times 6} = \frac{1 \times 5}{(- 1) \times 3} = \frac{- 5}{3} (v i i) - \frac{3}{4} \div (- 9) = - \frac{3}{4} \times \frac{1}{- 9} = \frac{(- 1) \times 1}{4 \times (- 3)} = \frac{1}{12} (v i i i) ‘ \frac{3}{4} \div (- \frac{5}{12}) = \frac{3}{4} \div (- \frac{12}{5}) = \frac{3 \times 3}{1 \times (- 5)} = - \frac{9}{5} (i x) - 5 \div (- \frac{10}{11}) = - 5 \times \frac{11}{- 10} = \frac{1 \times 11}{1 \times 2} = \frac{11}{2} = 5 \frac{1}{2} (x) \frac{- 7}{11} \div (\frac{- 3}{44}) = \frac{- 7}{11} \times (\frac{44}{- 3}) = \frac{(- 7) \times 4}{1 \times (- 3)} = \frac{28}{3} 9 \frac{1}{3}$

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Similar questions

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$