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 numerator in a fraction?

Back

The numerator is the top number in a fraction that represents how many parts of the whole are being considered.

Front

What is the denominator in a fraction?

Back

The denominator is the bottom number in a fraction that represents the total number of equal parts the whole is divided into.

Front

If you have the fraction 6/12, what is an equivalent fraction?

Back

An equivalent fraction for 6/12 is 1/2, obtained by dividing both the numerator and denominator by 6.

Front

What happens to a fraction when you multiply both the numerator and denominator by the same number?

Back

When you multiply both the numerator and denominator by the same number, you create an equivalent fraction.

Front

Can you give an example of generating an equivalent fraction by division?

Back

Yes! For the fraction 8/16, if you divide both the numerator and denominator by 8, you get 1/2, which is an equivalent fraction.

Front

What is the relationship between equivalent fractions and division?

Back

Equivalent fractions can be generated by dividing the numerator and denominator of a fraction by the same number.

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 simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 2/4 can be simplified to 1/2.