Converting Fractions and Decimals

A fraction represents a part of a whole and is expressed as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

A decimal is a way of expressing numbers that are not whole, using a point to separate the whole number part from the fractional part.

To convert a decimal to a fraction, write the decimal over 1, multiply both the numerator and denominator by 10 for each digit after the decimal point, and simplify.

$$\frac{1}{2}$$ .

$$\frac{1}{4}$$ .

To convert a fraction to a decimal, divide the numerator by the denominator.

0.75.

0.125.

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

$$\frac{1}{4}$$ .