Converting Fractions to Decimals

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator using long division or a calculator.

Front

What is the decimal equivalent of 1/4?

Back

0.25

Front

What is the decimal equivalent of 2/3?

Back

Approximately 0.67.

Front

What is the decimal equivalent of 3/5?

Back

0.6

Front

What is the decimal equivalent of 7/8?

Back

0.875

Front

What is the decimal equivalent of 1/2?

Back

0.5

Front

What is the significance of terminating decimals?

Back

Terminating decimals are decimals that come to an end, such as 0.75, and can be expressed as fractions with a finite number of digits.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has one or more digits that repeat infinitely, such as 0.333... (which is equal to 1/3).

Front

How can you identify if a fraction will result in a terminating or repeating decimal?

Back

A fraction will have a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 5. Otherwise, it will be a repeating decimal.