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To simplify a fraction, divide the numerator and the denominator by their GCF.

Example: 30/42

The GCF of 30 and 42 is 6.

6 into 30 is 5

6 into 42 is 7

30/42 = 5/7

Q: How did simplifying the fraction relate to finding the greatest common factor?

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When the numerator is a factor of the denominator.

If the numerator is a factor of the denominator.

When simplifying fractions.

Find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.

simplifying the fraction

You can use common multiples of the numerator and denominator.

Finding the GCF will help you when you are trying to reduce fractions.

The greatest common multiple is an infinite number and will be of no use in simplifying fractions. What you want is the greatest common factor, known as the GCF. Take a fraction like 16/24. The GCF of 16 and 24 is 8. Take 8 out of both of those numbers and get 2/3, the simplest form.

The GCF helps in simplifying fractions.

The GCF helps in simplifying fractions.

It depends on what you're simplifying. If you are simplifying a fraction, then yes. You would be dividing both numbers by their GCF. Or greatest common factor. For example if you had 24/48. You would divide both by 24, the GCF. Leaving you with 1/2. (:

Divide both the numeration and the denominator by their greatest common factor.