Fraction Equivalence Assessment

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numbers in the fractions are different. For example, $$\frac{1}{2}$$ is equivalent to $$\frac{2}{4}$$ .

To find an equivalent fraction, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number. For example, multiplying $$\frac{1}{3}$$ by 2 gives $$\frac{2}{6}$$ .

A unit fraction is a fraction that has a numerator of 1 and a positive integer as the denominator. For example, $$\frac{1}{4}$$ and $$\frac{1}{5}$$ are unit fractions.

The sum of two unit fractions can be found by adding their numerators and keeping the common denominator. For example, $$\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$$ .

A fraction tape diagram visually represents fractions and their equivalences. It shows how different fractions can occupy the same length or area.

To add fractions with the same denominator, you add the numerators and keep the denominator the same. For example, $$\frac{2}{5} + \frac{1}{5} = \frac{3}{5}$$ .

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, $$2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}$$ .

Fractions represent division. For example, $$\frac{a}{b}$$ means 'a divided by b'.

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted. For example, the common denominator of $$\frac{1}{4}$$ and $$\frac{1}{6}$$ is 12.

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, $$\frac{8}{12}$$ can be simplified to $$\frac{2}{3}$$ by dividing both by 4.