Equivalent fractions and Simplifying 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 is equivalent to 2/4.

Front

How do you find an equivalent fraction?

Back

To find an equivalent fraction, you can multiply or divide the numerator and the denominator by the same number. For example, to find an equivalent fraction for 1/3, multiply both by 2 to get 2/6.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 8/12?

Back

To simplify 8/12, divide both the numerator and the denominator by their greatest common factor, which is 4. So, 8 ÷ 4 = 2 and 12 ÷ 4 = 3, giving you 2/3.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 8 and 12 is 4.

Front

What is the relationship between 2/3 and 6/9?

Back

2/3 and 6/9 are equivalent fractions because they represent the same value. If you multiply the numerator and denominator of 2/3 by 3, you get 6/9.

Front

What fraction is equivalent to 1?

Back

Any fraction where the numerator is equal to the denominator is equivalent to 1. For example, 5/5 and 10/10 are both equivalent to 1.

Front

How do you simplify the fraction 5/20?

Back

To simplify 5/20, divide both the numerator and the denominator by their GCF, which is 5. So, 5 ÷ 5 = 1 and 20 ÷ 5 = 4, giving you 1/4.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4 or 7/7.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4 or 2/5.