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 (.) to separate the whole number part from the fractional part. For example, 0.5 represents half.

To convert a decimal to a fraction, write the decimal over its place value. For example, 0.75 can be written as $$\frac{75}{100}$$ .

The denominator will be 10.

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

0.8 can be expressed as $$\frac{8}{10}$$ .

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

Place value refers to the value of a digit based on its position in a number. For example, in the number 345, the 3 is in the hundreds place, so it represents 300.

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, $$\frac{8}{10}$$ simplifies to $$\frac{4}{5}$$ .

A mixed number is a whole number combined with a fraction. For example, 1 $$\frac{1}{2}$$ is a mixed number.