Question

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?

Answer 1

It rained `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:

`5/4=25/20`
`3/5=12/20`

Next, just subtract:

`25/20-12/20=13/20`

Answer 2

`13/20" inches more of rain on Monday"`

Explanation:

`1 1/4 " is the same as "1+1/4" is the same as "4/4+1/4=5/4`

So we have:`"Monday's rain - Tuesday's rain" ->" "color(brown)(5/4-3/5)`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

`color(brown)("Multiply by 1 and you do not change the value")`
`color(brown)("but you can change the way it looks")`

`color(blue)(5/5=1 and 4/4=1)`

`color(brown)((5/4color(blue)(xx5/5))-(3/5color(blue)(xx4/4)))color(green)(" " ->" " 25/20-12/20 )color(purple)(" "=" "(25-12)/20)`

`" "color(red)(=13/20)`