11.4 Equivalent Fractions

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 and 2/4 are equivalent fractions.

Front

How do you find equivalent fractions?

Back

To find equivalent fractions, you can multiply or divide the numerator and the denominator of a fraction by the same non-zero number. For example, for the fraction 1/3, multiplying both the numerator and denominator by 2 gives you 2/6.

Front

What is the numerator in a fraction?

Back

The numerator is the top number in a fraction that indicates 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 indicates the total number of equal parts the whole is divided into.

Front

What is the relationship between fractions and division?

Back

Fractions can be understood as division. For example, the fraction 3/4 can be interpreted as 3 divided by 4.

Front

Can you give an example of two equivalent fractions?

Back

Yes! 1/4 and 2/8 are equivalent fractions because they both represent the same part of a whole.

Front

What happens when you multiply the numerator and denominator by the same number?

Back

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

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.

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 a fraction?

Back

A fraction is a way to represent a part of a whole, consisting of a numerator and a denominator.