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8 grade maths

How do you write 32:40 in simplest form?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To simplify the fraction 32/40, you can find the greatest common factor (GCF) of the numerator (32) and the denominator (40) and then divide both the numerator and denominator by that common factor.

First, find the GCF of 32 and 40. The prime factorization of 32 is 2^5, and the prime factorization of 40 is 2^3 * 5. The highest power of 2 that is a common factor is 2^3.

So, GCF(32, 40) = 2^3 = 8.

Now, divide both the numerator and denominator by the GCF:

(32 ÷ 8) / (40 ÷ 8) = 4/5.

So, 32/40 simplified to its simplest form is 4/5.