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Reduce 295565\frac {295} {565}565295​​ to lowest form using HCF
Question

Reduce 295565\frac {295} {565}​ to lowest form using HCF

A.

59113\frac {59} {113}​​

B.

39123\frac {39} {123}​​

C.

59123\frac {59} {123}​​

D.

49113\frac {49} {113}​​

Correct option is A

Given:

The fraction = 295/565

Concept:

Factorize the given numbers, then, divide both the numbers by HCF to get the lowest fraction term

HCF = Highest common factor of any 2 or more numbers (Number which can completely divide the given numbers)

Solution:

295 = 5 × 59

565 = 5 × 113

=> HCF = 32 × 5 × 7 = 315

Now, Divide the numerator and denominator of the given fraction by 5

∴ 295/565 = (59/113)

Hence , the correct option is (a).

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