# 1/4 converted to decimals?

Jan 11, 2018

$0.25$

#### Explanation:

1) Let's make this fraction over 100 to convert better.

$\frac{1}{4}$
=> $\frac{25}{100}$

As 100/4=25, so multiply the fraction by 25.

Now it is much easier to convert.

$\frac{25}{10} = 2.5$

So therefore just move the decimal place to the left once to get

$\frac{25}{100}$

$\therefore$ $\frac{25}{100} = 0.25$ And as $\frac{25}{100} = \frac{1}{4}$ $\frac{1}{4}$ is also $0.25$

Jan 12, 2018

$0.25$

A different approach- takes longer to explain than to do.

It is a useful tool as it may be applied in some different contexts.

#### Explanation:

$\textcolor{b l u e}{\text{Preamble}}$

The value of $\frac{1}{4}$ behaves in the same way as $1 \div 4$

But as 1 is less than 4 this gives us a bit of a problem so we need to find a way round it.

$\textcolor{b r o w n}{\text{Something to think about}}$

1 has a value. Bit obvious! However, what is not obvious is that we can write 1 in many ways and we can use this in our calculation.

Example: Just picking on any number I choose 3

$1 = \frac{100}{100} = 100 \times \frac{1}{100}$

$3 = 3 \times 1 \textcolor{w h i t e}{\text{dd")=3xx100/100color(white)("dd")=3xx100xx1/100color(white)("dd}} = 300 \times \frac{1}{100}$

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$\textcolor{b l u e}{\text{Answering the question}}$

$\textcolor{g r e e n}{\frac{1}{4} \textcolor{w h i t e}{\text{d")->color(white)("d}} \left(1 \textcolor{red}{\times 1}\right) \div 4}$

$\textcolor{g r e e n}{\textcolor{w h i t e}{\text{ddd}} \to \left(1 \textcolor{red}{\times \frac{100}{100}}\right) \div 4}$

$\textcolor{g r e e n}{\textcolor{w h i t e}{\text{ddd}} \to \left(1 \textcolor{red}{\times 100 \times \frac{1}{100}}\right) \div 4}$

For multiply and divide you can change the order of things. That is, as long as they are grouped properly. In this case grouping does not matter. $a \div c \times b$ is the same answer as $b \times a \div c$ Works as long as the sign follows the value.

$\textcolor{g r e e n}{\textcolor{w h i t e}{\text{ddd")->color(white)("ddd}} 100 \div 4 \textcolor{red}{\times \frac{1}{100}}}$

color(green)(color(white)("ddd")->color(white)("ddddd")25color(white)("dd")color(red)(xx1/100)

$\textcolor{g r e e n}{\textcolor{w h i t e}{\text{ddd")->color(white)("dddddd}} 0.25}$