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 numerator and denominator may be different.

Front

How do you find equivalent fractions?

Back

To find equivalent fractions, you can multiply or divide both the numerator and denominator of a fraction by the same non-zero number.

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 can you simplify the fraction 20/48?

Back

To simplify 20/48, divide both the numerator and denominator by their greatest common divisor, which is 4. This gives you 5/12.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What is the relationship between 3/24 and 1/8?

Back

3/24 and 1/8 are equivalent fractions because they represent the same value when simplified.

Front

How do you convert a fraction to an equivalent fraction with a different denominator?

Back

To convert a fraction to an equivalent fraction with a different denominator, multiply the numerator and denominator by the same number that will give you the desired denominator.

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 equivalent fraction of 8/9 with a denominator of 81?

Back

The equivalent fraction of 8/9 with a denominator of 81 is 72/81.

Front

How do you express 6/21 in simplest form?

Back

To express 6/21 in simplest form, divide both the numerator and denominator by their GCD, which is 3. This gives you 2/7.