Simplify the following fraction by a factor of 5:
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Simplify the following fraction by a factor of 5:
Let's reduce as follows, we'll divide both the numerator and denominator by 5:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
List the factors: 15: 1, 3, 5, 15 and 10: 1, 2, 5, 10. The largest number that appears in both lists is 5, so GCF = 5.
Try dividing both numbers by small primes like 2, 3, 5. For 15 and 10, both are divisible by 5: 15 ÷ 5 = 3 and 10 ÷ 5 = 2.
After dividing by 5, we get . Since 3 and 2 share no common factors except 1, this fraction is fully simplified.
You can simplify by any common factor, but using the greatest common factor gets you to the final answer in one step. Using smaller factors means more steps!
A fraction is fully simplified when the GCF of the numerator and denominator equals 1. This means they share no common factors except 1.
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