# How to Find Patterns of Equivalent Fractions?

Equivalent fractions have different numerators and denominators but are equal to the same amount. In this guide, you can learn how to find equivalent fractions.

**A Step-by-step guide to finding patterns of equivalent fractions**

Equivalent fractions are fractions with different denominators and numerators yet they’re equal to the same value. For instance, \(\frac{10}{14}\) and \(\frac{15}{21}\) are both equivalent fractions, since they are both equal.

Number patterns are ordered sets of numbers that obey a rule. To define any pattern, you might have to use multiplication or division on the nominator or the denominator.

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**Equivalent Fractions-Example 1:**

What is the equivalent fraction to \(\frac{3}{5}\)?

** Solution:** To find an equivalent fraction, we must multiply the numerator and denominator by the same number.

\(\frac{3}{5}\times\frac{2}{2}=\frac{6}{10}\)

**Exercises for** **Equivalent Fractions**

**Complete the equivalent fraction**.

- \(\color{blue}{\frac{10}{3}=\frac{ }{27}}\)
- \(\color{blue}{\frac{2}{4}=\frac{ }{20}}\)
- \(\color{blue}{\frac{6}{ }=\frac{30}{40}}\)
- \(\color{blue}{\frac{39}{18}=\frac{13}{ }}\)

- \(\color{blue}{\frac{90}{27}}\)
- \(\color{blue}{\frac{10}{20}}\)
- \(\color{blue}{\frac{6}{8}}\)
- \(\color{blue}{\frac{13}{6}}\)

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