# How do you write 3/4 as a decimal?

Oct 6, 2015

$\frac{3}{4} = 0.75$

#### Explanation:

Divide $3$ by $4$ to get $0.75$

The division in this case is a bit tricky due to the fact that you have to divide something small $3$ into something bigger $4$.

as you can see at the start we borrow a zero to make our $3$ into a $30$ but we have to "signal" this loan by adding a $0 ,$ into the result; then we take another zero (in red) to form a $20$ and finish our division.

May 29, 2018

Here is another method.

#### Explanation:

$\frac{3}{4}$ can be converted to a fraction $\frac{x}{100}$.

How? In the denominator, $4 \times \setminus \textcolor{red}{25} = 100$. So we do the same for the numerator:
$\frac{3}{4} \setminus \textcolor{red}{\frac{\times 25}{\times 25}} = \frac{3 \times 25}{100} = \setminus \frac{\textcolor{b l u e}{75}}{100}$

Dividing by 100 means you move the decimal point backwards two digit spaces. So from the numerator value $75.00$ you move two back, and you have $0.7500$ or $0.75$.

(the 0's are there so you can see the decimal point. They actually don't count)