Question

Simplify 2/7 - { (1/4 ÷2/3) - 5/6}

Answer 1

Answer:

2/7 - { ( 1/4 ÷ 2/3 ) - 5/6 }

2/7 - { ( 3/8 ) - 5/6 }

2/7 - { 18/48 - 40/48 }

2/7 - { -22/48 }

2/7 + 11/24

48/168 + 77/168

125/168

Answer 2

Answer:

$\frac{125}{168}$

Step-by-step explanation:

Given Expression :

               $\frac{2}{7}-\{(\frac{1}{4}\div \frac{2}{3})-\frac{5}{6}\}$

we can solve the above expression by the method of BODMAS.

So first we have so solve parenthesis.

$\frac{2}{7}-\{(\frac{1}{4}\div \frac{2}{3})-\frac{5}{6}\}$

$\frac{2}{7}-\{(\frac{1}{4} \text{x} \frac{3}{2})-\frac{5}{6}\}$

$\frac{2}{7}-\{(\frac{3}{8})-\frac{5}{6}\}$

Now we have to solve curly brackets

$\frac{2}{7}-\{\frac{18-40}{48}\}$

$\frac{2}{7}-\{\frac{-22}{48}\}$

$\frac{2}{7}-\{\frac{-11}{24}\}$

$\frac{2}{7}+\frac{11}{24}$

$\frac{48+77}{168}=\frac{125}{168}$

Hence by simplifying the expression we get $\frac{125}{168}$

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