Jill walked 8 1/8818 miles to a park and then 7 2/5725 miles home. How many miles did she walk in all?

3 Answers
Feb 24, 2018

Okay, I think the easiest way to approach this problem is to first convert the mixed fractions to irregular fractions:

8 1/8=(8*8+1)/8=65/8818=88+18=658

7 2/5=(7*5+2)/5=37/5725=75+25=375

We want the total number of miles, so our equation is:

distance=65/8+37/5658+375

The LCD of 5 and 8 is 5*8=40, so:

distance=325/40+296/4032540+29640

distance=621/4062140=15 21/40152140 miles.

Hope this helps!

Feb 24, 2018

She walked 15 21/40152140 miles in all.

Explanation:

Jill walked 8 1/8818 miles to a park i.e. 8+1/88+18 miles

and then 7 2/5725 miles home i.e. 7+2/57+25 miles

In all she walked 8+1/8+7+2/58+18+7+25 miles

or 8+7+1/8+2/58+7+18+25 miles

or 15+(1xx5)/(8xx5)+(2xx8)/(5xx8)15+1×58×5+2×85×8 miles

or 15+5/40+16/4015+540+1640 miles

or 15+(5+16)/4015+5+1640 miles

or 15+21/4015+2140 miles

i.e. 15 21/40152140 miles

15 21/40152140

Explanation:

We can do this a couple of ways.

Improper fractions

8 1/8 + 7 2/5818+725

Make improper fractions by multiplying the whole number by the denominator, then add the numerator (so for instance with the first mixed number, we'll have (8xx8+1)/8=65/88×8+18=658

65/8+37/5658+375

Now we need to have the denominators be the same:

65/8(5/5)+37/5(8/8)=325/40+296/40658(55)+375(88)=32540+29640

621/4062140

And now we divide it back out:

15.525=15 21/4015.525=152140

~~~~~

We can avoid the large numbers by adding the whole numbers first, then adding the fractions:

8 1/8 + 7 2/5=8+1/8+7+2/5=8+7+1/8+2/5=15+1/8+2/5818+725=8+18+7+25=8+7+18+25=15+18+25

And now we add the fractions by finding a common denominator:

15+(1/8)(5/5)+(2/5)(8/8)15+(18)(55)+(25)(88)

15+5/40+16/40=15+21/40=15 21/4015+540+1640=15+2140=152140