What are the equivalent fractions to 3/7?

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What are the equivalent fractions to 3/7?

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Answer 1 · 2016-04-07T07:59:23

They can be: $\frac{6}{14}$ $6/14$ , $\frac{9}{21}$ $9/21$ , $\frac{12}{28}$ $12/28$ and so on.

Explanation:

If you have a fraction $\frac{a}{b}$ $a/b$ then any fraction $\frac{k a}{k b}$ $(ka)/(kb)$ for a natural number $k$ $k$ is equivalent to $\frac{a}{b}$ $a/b$ , because it can be reduced by $k$ $k$ .

Example:

$\frac{3}{7} = \frac{3 \cdot 2}{7 \cdot 2} = \frac{6}{14}$ $3/7=(3*2)/(7*2)=6/14$

$\frac{3}{7} = \frac{3 \cdot 3}{7 \cdot 3} = \frac{9}{21}$ $3/7=(3*3)/(7*3)=9/21$

Also if $a$ $a$ and $b$ $b$ have any common factors greater than $1$ $1$ you can get other equivalent fractions by reducing original fraction by the factors. For example:

$\frac{9}{12} = \frac{3 \cdot 3}{3 \cdot 4} = \frac{3}{4}$ $9/12=(3*3)/(3*4)=3/4$ .

So $\frac{3}{4}$ $3/4$ is equivalent to $\frac{9}{12}$ $9/12$

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What are the equivalent fractions to 3/7?

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