What is 12 8/15(as in fractions) − 7 + 7/15 + 15? Simplify your answer.

Answer 1

To simplify the expression, we need to convert all the mixed numbers to improper fractions and then perform the operations.

12 8/15 can be written as (12 * 15 + 8)/15 = 188/15

7 can be written as 7/1

So the expression becomes:

188/15 - 7/1 + 7/15 + 15

To add or subtract fractions, we need a common denominator. The common denominator for 15 and 1 is 15, so we need to convert 7/1 to have a denominator of 15:

7/1 * 15/15 = 105/15

Now the expression becomes:

188/15 - 105/15 + 7/15 + 15

To combine the fractions:

(188 - 105 + 7)/15 + 15 = 90/15 + 15

To simplify further, we can divide both the numerator and denominator of 90/15 by 15:

(90/15) ÷ (15/15) + 15 = 6 + 15

And finally:

6 + 15 = 21

Therefore, the simplified answer is 21.