How do you write -0.75 as a fraction in simplest form?

Sep 15, 2016

Answer:

$- \frac{3}{4}$

Explanation:

first notice that this is a negative value. This must not be forgotten when we write the answer.

Write as $\left(- 1\right) \times \left(\textcolor{red}{\frac{7}{10}} \textcolor{b l u e}{+ \frac{5}{100}}\right)$

This is the same as:

$\left(- 1\right) \times \left[\textcolor{red}{\left(\frac{7}{10} \times 1\right)} \textcolor{b l u e}{+ \frac{5}{100}}\right]$

But 1 can be written as $\frac{10}{10}$

$\left(- 1\right) \times \left[\textcolor{red}{\left(\frac{7}{10} \times \frac{10}{10}\right)} \textcolor{b l u e}{+ \frac{5}{100}}\right]$

$\left(- 1\right) \times \left[\textcolor{red}{\frac{70}{100}} \textcolor{b l u e}{+ \frac{5}{100}}\right]$

$= - \frac{75}{100}$
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Write as:$- \left[\frac{75 \div 25}{100 \div 25}\right] \text{ "=" } - \frac{3}{4}$