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Question

# How many parts should be shaded in the Figure B to make it represent the same fraction as the unshaded part of the Figure A ?

A
3
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B
5
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C
8
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D
12
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Solution

## The correct option is B 5Figure A is divided into four equal parts, out of which, one is shaded. ⇒ Figure A represents 14. Figure B is divided into twenty equal parts. Here, we need a fraction which is equivalent to the fraction 14 and having 20 as the denominator since figure B has twenty parts. ⇒14=x20 ⇒4x=20 ⇒x=5 Therefore, the ratio equivalent to ratio 14 is 520. So, 5 parts should be shaded in figure B.

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