The value of 14 - 16 of 23 - 512 -58 - 712 is

We have, (14 16) of (23 512) ×(58 712) ⇒(3 212) ×(8 512) ×(15 1424) ⇒(112) ×(312) ×(124) ⇒(112) ×(14) ×(124) ⇒11152 Hence, t ...

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Byju's Answer

Standard XII

Mathematics

Factorial

The value of ...

Question

The value of $(\frac{1}{4} - \frac{1}{6})$ $o f$ $(\frac{2}{3} - \frac{5}{12}) \times (\frac{5}{8} - \frac{7}{12})$ is

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Solution

We have,
$(\frac{1}{4} - \frac{1}{6})$ of $(\frac{2}{3} - \frac{5}{12}) \times (\frac{5}{8} - \frac{7}{12})$

$\Rightarrow (\frac{3 - 2}{12}) \times (\frac{8 - 5}{12}) \times (\frac{15 - 14}{24})$

$\Rightarrow (\frac{1}{12}) \times (\frac{3}{12}) \times (\frac{1}{24})$

$\Rightarrow (\frac{1}{12}) \times (\frac{1}{4}) \times (\frac{1}{24})$

$\Rightarrow \frac{1}{1152}$

Hence, this is the answer.

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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) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$