Question

simplify:- [3 1/4 / {1 1/4 - 1/2 (2 1/2 - 1/4 - 1/6)}]

Answer 1

Answer:

the Answer according to me is 78/5 Or 15.6

Answer 2

$\dfrac{3\frac{1}{4}}{\{1\frac{1}{4}-\frac{1}{2}(2\frac{1}{2}-\frac{1}{4}-\frac{1}{6})\}}=15\dfrac{3}{5}$

Step-by-step explanation:

Given : Expression $\dfrac{3\frac{1}{4}}{\{1\frac{1}{4}-\frac{1}{2}(2\frac{1}{2}-\frac{1}{4}-\frac{1}{6})\}}$

To find : Simplify the expression ?

Solution :

$\dfrac{3\frac{1}{4}}{\{1\frac{1}{4}-\frac{1}{2}(2\frac{1}{2}-\frac{1}{4}-\frac{1}{6})\}}$

Simplify step by step,

$=\dfrac{\frac{13}{4}}{\{\frac{5}{4}-\frac{1}{2}(\frac{5}{2}-\frac{1}{4}-\frac{1}{6})\}}$

$=\dfrac{\frac{13}{4}}{\{\frac{5}{4}-\frac{1}{2}(\frac{30-3-2}{12})\}}$

$=\dfrac{\frac{13}{4}}{\{\frac{5}{4}-\frac{1}{2}(\frac{25}{12})\}}$

$=\dfrac{\frac{13}{4}}{\{\frac{5}{4}-\frac{25}{24}\}}$

$=\dfrac{\frac{13}{4}}{\{\frac{30-25}{24}\}}$

$=\dfrac{\frac{13}{4}}{\frac{5}{24}}$

$=\dfrac{13\times 24}{4\times 5}$

$=\dfrac{78}{5}$

$=15\dfrac{3}{5}$

Therefore, $\dfrac{3\frac{1}{4}}{\{1\frac{1}{4}-\frac{1}{2}(2\frac{1}{2}-\frac{1}{4}-\frac{1}{6})\}}=15\dfrac{3}{5}$

#Learn more

5x-3/2x simplified the sum​

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