# How do you simplify and make the fraction 5/12 into a decimal?

May 9, 2018

Cannot simplify
As a decimal $0.41 \dot{6}$

#### Explanation:

$\frac{5}{12}$ does not cancel down so it cannot be simplified.

It does not change into an equivalent fraction that helps with the decimal part
If you multiply 12 by $8 \frac{1}{3} = 100$

But $5 \times 8 \frac{1}{3} = 41 \frac{2}{3}$ [$\frac{2}{3} = 0. \dot{6}$] =$41. \dot{6}$

$\frac{41. \dot{6}}{100} = 0.41 \dot{6}$

May 9, 2018

Divide 5 by 12, use fraction conversion shortcuts if possible

#### Explanation:

5/12 is already in its simplest form. To find the decimal value, divide the fraction:

5 divided by 12 = 4.16 repeating

If you have a calculator that can convert fractions, use whatever function that does that. I have TI-84s at my school, so we press "ALPHA" "Y=" to get fraction to decimal conversion options.

May 9, 2018

$0.416666667$

#### Explanation:

In order to make $\frac{5}{12}$ into a decimal, you take the top number or numerator, which is $5$, and take your bottom number or your denominator, which is $12$, and divide $5$ by $12$. The answer will be $0.416666667$.