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# What is two-fifths of twenty-five?

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#### Explanation

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33
May 14, 2016

$\frac{2}{5}$ of $25$ is $10$

#### Explanation:

To multiply a fraction by a natural number you have to multiply the numerator by the number and leave the denominator unchanged:

$\frac{2}{5} \cdot 25 = \frac{2 \cdot 25}{5} = \frac{50}{5} = 10$

Then teach the underlying concepts
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#### Explanation

Explain in detail...

#### Explanation:

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4
May 1, 2018

$\frac{2}{5} \times 25$

$= 10$

#### Explanation:

We can work this out by realising that 'fifths' means that a number is broken down into $5$ equal parts.

So, One fifth of $10$ would be $10 \div 5 = 2$

$\frac{1}{5}$ of $30$ would be $30 \div 5 = 6$

One fifth $\left(\frac{1}{5}\right)$ of $25$ would be $25 \div 5 = 5$

Two fifths just means two of the equal parts.

Two fifths of $25$ would be $5 + 5 = 2 \times 5 = 10$

Or

$\frac{2}{\cancel{5}} \times {\cancel{25}}^{5}$

$= 2 \times 5$

$= 10$

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