What should be placed in the empty space ? so that the sum of the fractions on each side of the triangle is same ?

\frac{7}{15}

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\frac{9}{15}

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\frac{6}{15}

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\frac{8}{15}

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Solution

The correct option is D $\frac{8}{15}$
In the given triangle Sum of values of each branch= $\frac{11}{15}$
So, $\frac{1}{15} + \frac{2}{15} + ? = \frac{11}{15} S o, ? = \frac{8}{15}$
So, correct answer is option D.

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

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