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State whether the given statement is true or false.

The equivalent fraction of $3648$ with denominator 4 is $54$ .

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True

False

answer is B.

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Detailed Solution

The given fraction is

3648

.
Since the equivalent fractions are the fractions which have different values of the numerator and the denominator, but they are equals.
Now, finding the fraction having a denominator equal to 4:
Assuming the numerator of fraction is x.

⇒ 3648 = x 4 ⇒ 48 × x = 36 × 4 ⇒ 48 × x = 144 x = 14448 = 3 ∴ 3648 = 34

Thus, the given statement is false and the equivalent fraction of

3648

with denominator 4 is

34

.
Hence, option (2) is correct.

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