Converting Fractions and Decimals

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 $$\frac{1}{2}$$ , 1 is the part and 2 is the whole.

A decimal is a way of expressing numbers that are not whole. It uses a point (or decimal point) to separate the whole number part from the fractional part. For example, 0.75 is a decimal.

To convert a decimal to a fraction, write the decimal over its place value. For example, 0.8 can be written as $$\frac{8}{10}$$ , which simplifies to $$\frac{4}{5}$$ .

The denominator will be 100.

0.75 can be written as $$\frac{75}{100}$$ , which simplifies to $$\frac{3}{4}$$ .

0.8 can be written as $$\frac{8}{10}$$ , which simplifies to $$\frac{4}{5}$$ .

0.54 can be written as $$\frac{54}{100}$$ .

0.78 can be written as $$\frac{78}{100}$$ .

Fractions and decimals are two ways to represent the same value. For example, $$\frac{1}{2}$$ is equal to 0.5.

The place value of a decimal is determined by the position of the digits to the right of the decimal point. For example, in 0.75, 7 is in the tenths place and 5 is in the hundredths place.