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March 13, 2023 1:13 am

Finding an equal fraction that has smaller integers in the numerator and denominator while preserving the same overall value is the goal when simplifying a fraction. This procedure entails determining the numerator and denominator's greatest common factor (GCF) and dividing both by that figure.

Finding the GCF of 15 and 20 is the first step towards simplification of 15/20. The biggest integer that divides equally into 15 and 20 is the GCF. List each number's factors, then discover the biggest factor they share in common to determine the GCF.

15 factors are 1, 3, 5, and 15.

20 factors are 1, 2, 4, 5, 10, and 20.

These lists show that the largest similarity between the numbers 15 and 20 is the number 5. So, by multiplying the numerator and denominator by 5, we may simplify the expression 15/20.

15/20 = (15 ÷ 5) / (20 ÷ 5) = 3/4

Thus, 3/4 is the 15/20 simple fraction.

By confirming that 3/4 has the same value as 15/20, we may further confirm that this response is correct. We can cross-multiply and simplify to get this:

15/20 = 3/4

15 x 4 = 20 x 3

60 = 60

As we can see, these fractions are equivalent because they both have a value of 0.75. As a result, we were able to reduce 15/20 to 3/4.

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