Simplify 48/180

What Is 48/180 in Simplest Form?

48/180 simplified is 4/15. Divide the top and the bottom by the same number, their greatest common factor, and the value of the fraction stays the same.

Handwritten notebook page simplifying the fraction 48/180 — 48/180 worked out by hand: divide by the GCF, 12, to get 4/15.

Step 1: Find the GCF of 48 and 180

List the factors of each number and pick the biggest one they share.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Common factors: 1, 2, 3, 4, 6, 12

The biggest common factor is 12, so GCF(48, 180) = 12.

Step 2: Divide the Top and Bottom by the GCF

48 ÷ 12 = 4 and 180 ÷ 12 = 15, so:

48/180 = 4/15

Another Way: Cancel the Shared Primes

48 = 2⁴ × 3
180 = 2² × 3² × 5

Cancel the shared primes, 2 × 2 × 3, from the top and bottom. What is left is 4 on top and 15 on the bottom: 4/15.

Check the Answer

4 and 15 have no common factor except 1, so 4/15 is fully simplified. Both fractions equal about 0.2667 as a decimal.

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Simplify 48/180: FAQs

What is 48/180 in simplest form?

48/180 in simplest form is 4/15. Divide both by their GCF, 12: 48 ÷ 12 = 4 and 180 ÷ 12 = 15.

How do you simplify 48/180?

Find the GCF of 48 and 180, which is 12, then divide the numerator and the denominator by it. That gives 4/15.

What is the GCF of 48 and 180?

The GCF of 48 and 180 is 12. The common factors are 1, 2, 3, 4, 6, 12, and 12 is the biggest.

What is 48/180 as a decimal?

48/180 ≈ 0.2667. It is the same value as 4/15.