Fraction word problems

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

When adding fractions with the same denominator, you add the numerators and keep the denominator the same. For example, $$\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$$ .

To add fractions with different denominators, first find a common denominator, convert the fractions, then add the numerators. For example, $$\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$$ .

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

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator. For example, $$\frac{9}{4} = 2\frac{1}{4}$$ .

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator. If they have different denominators, find a common denominator first.

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

To find the fraction of a whole, divide the part by the whole. For example, if you have 3 apples out of 12, the fraction is $$\frac{3}{12} = \frac{1}{4}$$ .

If 3 out of 8 pieces are eaten, the fraction of pizza left is $$\frac{5}{8}$$ .

To find the remaining fraction after spending, subtract the fraction spent from 1 (the whole). For example, if $$\frac{4}{7}$$ is spent, the remaining fraction is $$1 - \frac{4}{7} = \frac{3}{7}$$ .