# How do you simplify (- 6.6) / 2.4?

Dec 10, 2017

It is $2.75 \mathmr{and} \frac{11}{4} \mathmr{and} 2 \frac{3}{4}$

#### Explanation:

The way you do this is to start by dividing it.

$- 6.6 \div 2.4$ which in your case gives $2.75$.

Then you can use your calculator and use >DMS key or you can see what the numbers are after the comma.

Because it is $0.75$ here you know that you can multiply it by 4 to make a fraction: $0.75 = \frac{3}{4}$

$2.75 \times \frac{4}{4} = \frac{11}{4}$

Dec 10, 2017

$- \frac{11}{4}$

#### Explanation:

If multiply both the denominator and numerator by 10, that's the same as multiplying by 1:

$- \frac{6.6}{2.4} \cdot \frac{10}{10}$

$- \frac{66}{24}$

No we can split each denominator and numerator into their prime factors:

$- \frac{2 \cdot 3 \cdot 11}{2 \cdot 2 \cdot 2 \cdot 3}$

We see that on the top, one of the $2 ' s$ and one of the $3 ' s$ cancel with the bottom:

$- \frac{11}{2 \cdot 2}$

$= - \frac{11}{4}$

Dec 10, 2017

$- \frac{11}{4}$

#### Explanation:

$\text{multiply numerator/denominator by 10}$

$\Rightarrow - \frac{6.6}{2.4} \times \frac{10}{10} = - \frac{66}{24}$

$\text{divide numerator/denominator by 6}$

$\Rightarrow - {\cancel{66}}^{11} / {\cancel{24}}^{4} = - \frac{11}{4} \leftarrow \textcolor{b l u e}{\text{in simplest form}}$

$\text{a fraction is in "color(blue)"simplest form"" when no other}$
$\text{factor but 1 will divide into the numerator/denominator}$