# What is the equivalent to 2/5?

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#### Explanation

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3
Feb 5, 2018

All the following are fractions equivalent to $\frac{2}{5}$

$\frac{2}{5} = \frac{4}{10} = \frac{6}{15} = \frac{8}{20} = \frac{10}{25} = \frac{12}{30} = \frac{20}{50} = \frac{50}{125} = \frac{60}{150} \ldots$

#### Explanation:

There are infinitely many numbers which are equivalent to $\frac{2}{5}$

$\frac{2}{5}$ represents a fraction of a whole. It can be expressed as a proper fraction, or a decimal or as a percent.

2/5 = 0.4 = 40%

However $\frac{2}{5}$ is the simplest form of many equivalent fraction.

Recall that multiplying any number by $1$ does not change its value.

$1$ can be written as $\frac{2}{2} , \frac{3}{3} , \frac{4}{4} , \frac{9}{9} , \frac{15}{15} , \frac{21}{21} \frac{50}{50} \ldots$

If you multiply the top and bottom of a fraction by the same number you do not change its value, only what it looks like.

$\frac{2}{5} \times \frac{2}{2} = \frac{4}{10} \text{ and "2/5 xx 7/7 = 14/35" and } \frac{2}{5} \times \frac{12}{12} = \frac{24}{60}$

All the following are fractions equivalent to $\frac{2}{5}$

$\frac{2}{5} = \frac{4}{10} = \frac{6}{15} = \frac{8}{20} = \frac{10}{25} = \frac{12}{30} = \frac{20}{50} = \frac{50}{125} = \frac{60}{150} \ldots$

All of these simplify to the decimal $0.4$

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2
Feb 4, 2018

See below:

#### Explanation:

Quite a few things actually!

We can look at $\frac{2}{5}$ and convert it to a decimal:

$\frac{2}{5} = 0.4$

and a percentage:

2/5=0.4=40%

We can write different types of operations to arrive at $\frac{2}{5}$:

Addition: $\frac{1}{5} + \frac{1}{5} = \frac{2}{5}$

Subtraction: $\frac{4}{5} - \frac{2}{5} = \frac{2}{5}$

Multiplication: $2 \times \frac{1}{5} = \frac{2}{5}$

Division: $\frac{\frac{1}{5}}{\frac{1}{2}} = \frac{2}{5}$

We can find fractions that have an equal value to $\frac{2}{5}$, such as $\frac{4}{10} \mathmr{and} \frac{6}{15}$

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landon3 Share
Feb 4, 2018

$\frac{2 n}{5 n}$

#### Explanation:

$\frac{a}{b}$ can be written as $\frac{a n}{b n}$ so

$\frac{2}{5} = \frac{4}{10} = \frac{80}{200} = \ldots$

Or $\frac{2 n}{5 n}$

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