keche0b

2021-12-26

What is the equivalent to $\frac{2}{5}$ ?

poleglit3

Expert

Explanation:
$\frac{a}{b}$ can be written as $\frac{an}{bn}$ so
$\frac{2}{5}=\frac{4}{10}=\frac{80}{200}=\dots$
Or $\frac{2n}{5n}$

rodclassique4r

Expert

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
$\frac{2}{5}=0.4=40\mathrm{%}$
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: $2×\frac{1}{5}=\frac{2}{5}$
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 $\frac{4}{10}$ and $\frac{6}{15}$.

karton

Expert

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.
$\frac{2}{5}=0.4=40\mathrm{%}$
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 $\frac{2}{2},\frac{3}{3},\frac{4}{4},\frac{9}{9},\frac{15}{15},\frac{21}{21},\frac{50}{50}...$
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.
$\frac{2}{5}×\frac{2}{2}=\frac{4}{10}$
All the following are fractions equivalent to $\frac{2}{5}$
$\frac{2}{5}=\frac{4}{10}=\frac{6}{15}=\frac{8}{20}=\frac{12}{30}=\frac{20}{50}=\frac{50}{125}=...$
All of these simplify to the decimal 0.4

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