2025 Benchmark Review Part 1

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

To convert a whole number to a fraction, write it over 1. For example, 5 can be written as $$\frac{5}{1}$$ .

The numerator is the top number in a fraction and represents how many parts we have.

The denominator is the bottom number in a fraction and represents the total number of equal parts the whole is divided into.

To add fractions with the same denominator, 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, find a common denominator, convert the fractions, and then add the numerators.

An equivalent fraction is a fraction that represents the same value as another fraction, such as $$\frac{1}{2}$$ and $$\frac{2}{4}$$ .

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, $$\frac{4}{8} = \frac{1}{2}$$ .

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.