4.2G: Relating Fractions to Decimals

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

Front

What is a decimal?

Back

A decimal is a way of representing numbers that are not whole. It uses a point (decimal point) to separate the whole number part from the fractional part. For example, 0.5 represents half.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 1/4 to a decimal, divide 1 by 4, which equals 0.25.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply the numerator and denominator by 10 for each digit after the decimal point. For example, 0.75 = 75/100 = 3/4.

Front

What is an equivalent fraction?

Back

Equivalent fractions are different fractions that represent the same value. For example, 1/2, 2/4, and 4/8 are all equivalent fractions.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 1 1/2 is a mixed number, where 1 is the whole number and 1/2 is the fraction.

Front

How do you write 0.5 as a fraction?

Back

0.5 can be written as 1/2 as a fraction.

Front

What is the decimal equivalent of 3 tenths?

Back

3 tenths is written as 0.3 in decimal form.

Front

How do you write 1.8 as a fraction?

Back

1.8 can be written as 18/10, which simplifies to 9/5.

Front

What is the decimal equivalent of 1/4?

Back

1/4 is equal to 0.25 in decimal form.