# What fraction is equivalent to 1/3?

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Feb 9, 2018

#### Explanation:

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There are infinite number of fractions that are equal to $\frac{1}{3}$.

You can multiply the numerator and denominator of $\frac{1}{3}$ by any number and the resulting fraction would be equal to $\frac{1}{3}$ so long as you are multiplying both by the same number.

For example:

$\frac{1}{3} = \frac{1 \cdot 2}{3 \cdot 2} = \frac{2}{6}$

$\frac{1}{3} = \frac{1 \cdot 4000}{3 \cdot 4000} = \frac{4000}{12000}$

and so on and so forth.

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$\frac{1}{3} = \frac{2}{6} = \frac{3}{9} = \frac{4}{12} = \frac{5}{15} = \frac{9}{27} = \frac{14}{42} = \frac{17}{51} = \frac{50}{150} \ldots . .$

#### Explanation:

There are many fractions which are equivalent to $\frac{1}{3}$ but this is the simplest form.

To find an equivalent fraction, multiply $\frac{1}{3}$ by $1$, but with $1$ written as $\frac{2}{2} , \frac{3}{3} , \frac{4}{4}$ etc

Multiplying the numerator and denominator by the same number does not change the value of a fraction.

$\frac{1}{3} \times \frac{2}{2} = \frac{2}{6}$

$\frac{1}{3} \times \frac{7}{7} = \frac{7}{21}$

$\frac{1}{3} = \frac{2}{6} = \frac{3}{9} = \frac{4}{12} = \frac{5}{15} = \frac{9}{27} = \frac{14}{42} = \frac{17}{51} = \frac{50}{150}$ etc

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