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 denominator of a fraction by the same non-zero number. For example, for 1/3, multiplying both by 2 gives 2/6.

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. It is used to simplify fractions.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 8/12, divide both by 4 to get 2/3.

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, 3/4 is in simplest form.

Front

What is 24/30 in simplest form?

Back

24/30 simplifies to 4/5 when divided by the GCF, which is 6.

Front

What is 12/16 in simplest form?

Back

12/16 simplifies to 3/4 when divided by the GCF, which is 4.

Front

If you have 3/5 of a pizza, how much is that in equivalent fractions?

Back

3/5 can be expressed as 6/10 or 9/15, among others.

Front

What is the relationship between fractions and division?

Back

Fractions represent division. For example, 1/2 means 1 divided by 2.

Front

How can you check if two fractions are equivalent?

Back

To check if two fractions are equivalent, cross-multiply and see if the products are equal. For example, for 1/2 and 2/4, check if 1*4 = 2*2.