Equivalent Fractions

Front

What are equivalent fractions?

Back

Equivalent fractions are different fractions that represent the same value or proportion of a whole.

Front

How can you create equivalent fractions?

Back

You can create equivalent fractions by multiplying or dividing the numerator and denominator of a fraction by the same non-zero whole number.

Front

What is the equivalent fraction of 1/2?

Back

Some equivalent fractions of 1/2 include 2/4, 3/6, and 4/8.

Front

If you have the fraction 3/5, what is an equivalent fraction if you multiply both the numerator and denominator by 2?

Back

The equivalent fraction is 6/10.

Front

What is the process to check if two fractions are equivalent?

Back

To check if two fractions are equivalent, cross-multiply and see if the products are equal.

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.

Front

How do you convert a fraction to its simplest form?

Back

To convert a fraction to its simplest form, divide both the numerator and denominator by their greatest common divisor (GCD).

Front

What is the GCD of 8 and 12?

Back

The GCD of 8 and 12 is 4.

Front

What is an example of a fraction that is not in simplest form?

Back

The fraction 6/8 is not in simplest form; it can be simplified to 3/4.

Front

What is the relationship between equivalent fractions and ratios?

Back

Equivalent fractions represent the same ratio between two quantities.