Question

How much rain more rain on the average does Tucson get than Yuma

Answer 1

`13\text{ }(13)/(20)`

Step-by-step explanation

to solve this we need to do a subtaction

difference= amount in Tucson - amount in Yuma

Step 1

convert the mixed numbers into fractions,

remember how:

`a\text{ }(b)/(c)=((a\cdot c)+b)/(c)`

hence

`\begin{gathered} 11(1)/(4)=((11\cdot4)+1)/(4)=(45)/(4) \\ 2(2)/(5)=((2\cdot5)+2)/(5)=(12)/(5) \end{gathered}`

then Let

`\begin{gathered} \text{Amount in Tucson=}(45)/(4) \\ \text{Amount in Yuma =}(12)/(5) \end{gathered}`

Step 2

now, we can proceed to do the subtraction of the fractions:

remember

`(a)/(b)-(c)/(d)=(ad-bc)/(bd)`

hence,

difference= amount in Tucson - amount in Yuma

replace and calculate

`\begin{gathered} D=(45)/(4)-(12)/(5) \\ D=(45\cdot5+4\cdot12)/(20) \\ D=(225+48)/(20) \\ D=(273)/(20) \end{gathered}`

we can simplyfy the answer

`\begin{gathered} D=(273)/(20)=13(13)/(20) \\ \text{because} \\ ((13\cdot20)+13)/(20)=(273)/(20) \end{gathered}`

the answer is

`13\text{ }(13)/(20)`

I hope this helps you