High School

Find the fraction equivalent to [tex]\frac{45}{60}[/tex] having:

(a) Numerator 15

Answer :

Final answer:

The fraction equivalent to 45/60 that has 15 as the numerator is 15/20. This is found by simplifying the original fraction to 3/4, and then multiplying 3/4 by 15 to get 15/20.

Explanation:

The original fraction given is 45/60, and we need to reduce this fraction to its simplest form that has 15 as the numerator. To find this, you would first simplify the original fraction by finding the greatest common divisor (GCD) of 45 and 60. The GCD of 45 and 60 is 15. Therefore, you would divide both the numerator (45) and the denominator (60) by 15. This results in the fraction: 3/4. So, the equivalent fraction to 45/60 that has 15 as the numerator is 15 times 3/4, which equals 15/20.

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