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Question

Circle the fraction equivalent to the given one :2145


A

1428

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B

79

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C

2130

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D

1430

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Solution

The correct option is D

1430


Step 1: Find the equivalent fraction of 2145

Equivalent Fraction: The fractions that have different numerators and denominators but are equal to the same value are called equivalent fraction.

We multiply or divide the numerator and denominator of a given fraction by the same number to get an equivalent fraction.

Here HCF(21,45)=3

If we divide the fraction by HCF we get the equivalent fraction.

Therefore,

21÷345÷3=715

Step 2: Checking the options

From option(A), HCF(14,28)=14

After dividing the fraction by the HCF we get 14÷1428÷14=12

From option(B), HCF(7,9)=1

So the fraction in option(B) is in simplest form.

From option(C), HCF(21,30)=3

After dividing the fraction in option(C) we get 21÷330÷3=710

From option(D), HCF(14,30)=2

14÷230÷2=715

Hence, option (D) is the correct answer.


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