Question

I jog for 1 3/5 miles then I jog 2 1/4 miles farther how many miles did jog in all

Answer 1

3 17/20 miles

Explanation:

Find a common denominator.

multiples of 5: 5, 10, 15, 20

multiples of 4: 4, 8, 12, 16, 20

`1(3)/(5) =(x)/(20)`

`2(1)/(4) =(x)/(20)`

Turn the fractions back into improper fractions.

`1(3)/(5) =5*1+3=8`

So,
`1(3)/(5) =(8)/(5)`

Repeat the steps.

`4*2+1=9`

So,
`2(1)/(4) =(9)/(4)`

`(8)/(5)=(x)/(20)`

`(8)/(5) *(4)/(4) =(32)/(20)`

`(9)/(4) *(5)/(5) =(45)/(20)`

Simplify.

`(32)/(20) =1(12)/(20)`

`(45)/(20) =2(5)/(20)`

Now, add them together.

`1(12)/(20) +2(5)/(20) =3(17)/(20)`

So, altogether, the jog was
`3(17)/(20)` miles.

Answer 2

3 17/20! this will be your answer :)