Question

How would I do this problem Gio ran at the park two days this week. On Monday he ran 1 3/4 miles. On Tuesday he ran 1 2/3 miles. What is the total distance, in miles, that Gio ran at the park this week?

I have tried it several times and I do not get the answers that they have

Answer 1

`3 5/12` miles

Explanation:

you need a common denominator first.

make both numbers improper fractions

`1 3/4` turns into `7/4`

`1 2/3` turns into `5/3`

your two numbers are now `7/4` and `5/3`
you need to add these numbers, meaning you need a common denominator. the smallest common number that both `4` and `3` are factors of is the number `12`

to get `7/4` as a number over `12`, multiply both numerator and denominator by `3`, resulting in the fraction of `21/12`

`(7/4)*(3/3) = 21/12`

do the same thing to `5/3`, just multiply both numerator and denominator by `4` as to get a number over `12`

`(5/3) *(4/4) = 20/12`

your two numbers are now `21/12` and `20/12`

simply add these two like:

`(21/12)+(20/12)=41/12`

further simplify this into a mixed fraction

`41/12 = 3 5/12`