simplifying fractions

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What is the process of simplifying fractions?

Back

The process of simplifying fractions involves dividing the numerator and the denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

How do you simplify the fraction 9/18?

Back

To simplify 9/18, divide both the numerator (9) and the denominator (18) by their GCD, which is 9. This results in 1/2.

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What is the simplified form of the fraction 21/35?

Back

The simplified form of 21/35 is 3/5, obtained by dividing both the numerator and denominator by their GCD, which is 7.

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What does every fraction represent?

Back

Every fraction represents a division problem, where the numerator is divided by the denominator.

Front

How can you determine the GCD of two numbers?

Back

You can determine the GCD of two numbers by listing the factors of each number and finding the largest factor they have in common, or by using the Euclidean algorithm.

Front

What is the simplified form of the fraction 9/36?

Back

The simplified form of 9/36 is 1/4, obtained by dividing both the numerator and denominator by their GCD, which is 9.

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What is the largest number you can divide both the numerator and denominator of 4/16 by when simplifying?

Back

The largest number you can divide both the numerator (4) and the denominator (16) by is 4.

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Why is it important to simplify fractions?

Back

It is important to simplify fractions to make them easier to understand, compare, and use in calculations.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, achieved by multiplying or dividing both the numerator and denominator by the same non-zero number.