simplify : [ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]
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[2÷(1+1÷1/2)] × [3÷(5/6 of 3/2÷1(1/4))]
= [2÷3] × [3÷1]
=2/3 × 3/1
= 2
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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,
Follow the PEMDAS order of operations
Calculate within parentheses
Simplifying the above equation, we get
Step 2
Consider, [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]
then
Simplifying the above equation, we get
Cross cancel:
Divide the numbers:
= 3.
Step 3
Therefore,
[ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ]
[ 2÷ (1+1 ÷ 1/2) ] × [ 3÷ ( 5/6 of 3/2 ÷ 1 (1/4)) ] = 2.
#SPJ2
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