Question

simplify : [ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]

Answer 1

[2÷(1+1÷1/2)] × [3÷(5/6 of 3/2÷1(1/4))]

= [2÷3] × [3÷1]

=2/3 × 3/1

= 2

Ans) 2

Answer 2

Answer:

The correct answer is  [ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ] = 2.

Step-by-step explanation:

Given:

[ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]

To find:

To simplify the given equation

Step 1

Let, [ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]

Consider,

$\left[2 \div\left(1+1 \div \frac{1}{2}\right)\right]$

Follow the PEMDAS order of operations

Calculate within parentheses

$\left(1+1 \div \frac{1}{2}\right)= 3$

Simplifying the above equation, we get

$\left[2 \div\left(1+1 \div \frac{1}{2}\right)\right]$  $=\frac{2}{3}$

Step 2

Consider, [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]

then $\frac{3}{\frac{5}{6} \times \frac{\frac{3}{2}}{\frac{5}{4}}}$

Simplifying the above equation, we get

$&\frac{\frac{3}{2}}{\frac{5}{4}}=\frac{6}{5}$

$&=\frac{3}{\frac{5}{6} \times \frac{6}{5}}$

Cross cancel:

$\quad \frac{a}{b} \times \frac{b}{a}=1$

$&\frac{5}{6} \times \frac{6}{5}=1$

Divide the numbers:

$\frac{3}{1}=3$

= 3.

Step 3

Therefore,

[ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]  

$=\frac{2}{3} *3$

[ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]  = 2.

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