# What is 0.054 Divided by 0.72?

Jun 2, 2016

0.075

#### Explanation:

Given: $\frac{0.054}{0.72}$

I do not like dividing decimals and avoid it if I can

Multiply by 1 but in the form of $1 = \frac{1000}{1000}$

$\frac{0.054}{0.72} \times \frac{1000}{1000} \text{ " =" " (0.054xx1000)/(0.72xx1000)" "=" } \frac{54}{720}$

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$\textcolor{b r o w n}{\text{Note that 54 is the same as } 540 \times \frac{1}{10}}$

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Write as $\frac{540}{720} \times \frac{1}{10}$

But $\frac{540}{720} \to \frac{3}{4} \to 0.75$

so $\frac{540}{720} \times \frac{1}{10} \to 0.75 \times \frac{1}{10} = 0.075$