The value of 1-2-3-3-4-1-2-3-3-4 on simplification is

The correct option is B 9/16 1÷23×341÷23×43 ⇒1×121×89 ⇒1× 21×89 ⇒1289 =916 ...

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Question

The value of $\frac{1 \div \frac{2}{3} \times \frac{3}{4}}{1 \div \frac{2}{3} \times \frac{3}{4}}$ on simplification is

\frac{3}{16}

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\frac{9}{16}

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\frac{1}{16}

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\frac{7}{16}

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Solution

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On simplification of $2 \frac{1}{4} of \frac{4}{5} \div 3 \frac{1}{5} of \frac{9}{16}$ , we get,

{(\frac{1}{4})}^{- 2} - 3 \times 8^{\frac{2}{3}} \times 4^{0} + {(\frac{9}{16})}^{- \frac{1}{2}} = \frac{16}{3}

\frac{1}{2} + [(\frac{2}{3} \times \frac{3}{8}) \div 4] - \frac{9}{16}

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

(\frac{1}{4})^{\frac{- 1}{2}} - 3 (8)^{\frac{2}{3}} + (\frac{9}{16})^{\frac{- 1}{2}}

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