# On Monday, it rained 1 1/4 inches. On Tuesday, it rained 3/5 inch. How much more did it rain on Monday than on Tuesday?

Jul 27, 2016

It rained $\frac{13}{20}$ inches more on Monday than it did on Tuesday.

#### Explanation:

To make this easier, let's give a common denominator to each of the fractions:

$\frac{5}{4} = \frac{25}{20}$
$\frac{3}{5} = \frac{12}{20}$

Next, just subtract:

$\frac{25}{20} - \frac{12}{20} = \frac{13}{20}$

Jul 27, 2016

$\frac{13}{20} \text{ inches more of rain on Monday}$

#### Explanation:

$1 \frac{1}{4} \text{ is the same as "1+1/4" is the same as } \frac{4}{4} + \frac{1}{4} = \frac{5}{4}$

So we have:$\text{Monday's rain - Tuesday's rain" ->" } \textcolor{b r o w n}{\frac{5}{4} - \frac{3}{5}}$

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Change these so that they have the same denominator (bottom number) of 20

$\textcolor{b r o w n}{\text{Multiply by 1 and you do not change the value}}$
$\textcolor{b r o w n}{\text{but you can change the way it looks}}$

$\textcolor{b l u e}{\frac{5}{5} = 1 \mathmr{and} \frac{4}{4} = 1}$

$\textcolor{b r o w n}{\left(\frac{5}{4} \textcolor{b l u e}{\times \frac{5}{5}}\right) - \left(\frac{3}{5} \textcolor{b l u e}{\times \frac{4}{4}}\right)} \textcolor{g r e e n}{\text{ " ->" " 25/20-12/20 )color(purple)(" "=" } \frac{25 - 12}{20}}$

$\text{ } \textcolor{red}{= \frac{13}{20}}$