8-4 Generate Equivalent Fractions: Division

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numbers may be different. For example, 1/2 is equivalent to 2/4.

Front

How do you generate equivalent fractions using division?

Back

To generate equivalent fractions using division, divide the numerator and the denominator of a fraction by the same non-zero number. For example, for the fraction 4/8, dividing both by 4 gives 1/2.

Front

What is the first step to find an equivalent fraction?

Back

The first step is to choose a number to multiply or divide both the numerator and the denominator.

Front

If you have the fraction 3/9, what is an equivalent fraction?

Back

An equivalent fraction is 1/3, found by dividing both the numerator and denominator by 3.

Front

What is the relationship between equivalent fractions and division?

Back

Equivalent fractions can be created by dividing the numerator and denominator by the same number, which maintains the value of the fraction.

Front

How can you check if two fractions are equivalent?

Back

You can check if two fractions are equivalent by cross-multiplying. If the cross products are equal, the fractions are equivalent.

Front

What is the equivalent fraction of 10/20 when divided by 10?

Back

The equivalent fraction is 1/2.

Front

If a fraction is 6/12, what is an equivalent fraction when divided by 6?

Back

The equivalent fraction is 1/2.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the equivalent fraction of 8/24 when divided by 8?

Back

The equivalent fraction is 1/3.