An algebra problem by A Former Brilliant Member

Algebra Level 2

The value of 1 ÷ 2 3 × 3 4 1 ÷ 2 3 of 3 4 \dfrac{1÷\frac{2}{3}×\frac{3}{4}}{1÷ \frac{2}{3} \text{of} \frac{3}{4}} on simplification is:

7 16 \dfrac{7}{16} 1 16 \dfrac{1}{16} 1 1 9 16 \dfrac{9}{16}

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1 solution

Ram Mohith
Apr 28, 2018

The word o f of in algebra is nothing but × \times , that is of = × \text{of} = \times

So , The vale in numerator is 1 × 3 2 × 3 4 and the value in denominator is 1 × 3 2 × 3 4 \text{The vale in numerator is }1 \times \frac{3}{2} \times \frac{3}{4} \text{ and the value in denominator is } 1 \times \frac{3}{2} \times \frac{3}{4}

Therefore , in the numerator and in the denominator same values are present and hence they will cancel of which leaves us the answer with 1.

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