What is 12 8/15 - 7 + 7 1/5 + 15

in simplest form?

1 answer

To simplify the expression 12 8/15 - 7 + 7 1/5 + 15, we need to convert all the mixed fractions to improper fractions.

12 8/15 can be written as (12 * 15 + 8)/15 = 188/15
7 1/5 can be written as (7 * 5 + 1)/5 = 36/5

Now the expression becomes:

188/15 - 7 + 36/5 + 15

To add the fractions together, we need to find a common denominator. The least common multiple (LCM) of 15 and 5 is 15.

(188/15) - (7 * 15/15) + (36/5 * 3/3) + (15 * 15/15)
= 188/15 - 105/15 + 108/15 + 225/15

Now that all the fractions have the same denominator, we can combine them:

= (188 - 105 + 108 + 225) / 15
= 416/15

So, 12 8/15 - 7 + 7 1/5 + 15 in simplest form is 416/15.