Equivalent Fractions

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

The fraction of students in the fourth grade is $$\frac{6}{10}$$ , which simplifies to $$\frac{3}{5}$$ .

$$\frac{1}{2}$$ is equivalent to $$\frac{4}{8}$$ .

The simplest form of $$\frac{10}{15}$$ is $$\frac{2}{3}$$ .

To find x, set up the equation: $$3 \times 16 = 4 \times x$$ . Thus, $$x = 12$$ .

Two fractions are equal if they represent the same part of a whole, meaning they simplify to the same value.

You can check if two fractions are equivalent by cross-multiplying. If the cross-products are equal, the fractions are equivalent.

The fraction of pizza left is $$\frac{5}{8}$$ .

The simplest form of $$\frac{6}{9}$$ is $$\frac{2}{3}$$ .