How to Find Patterns of 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.

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.

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

1. \(\color{blue}{\frac{90}{27}}\)
2. \(\color{blue}{\frac{10}{20}}\)
3. \(\color{blue}{\frac{6}{8}}\)
4. \(\color{blue}{\frac{13}{6}}\)