what is 12 8/15 - 7 + 7/15 + 15 simplify

Answer 1

To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to convert all the mixed numbers to improper fractions and then add or subtract them.

First, let's convert the mixed number 12 8/15 to an improper fraction.
12 + 8/15 = (12 * 15 + 8)/15 = 184/15

Now we can rewrite the expression:
184/15 - 7 + 7/15 + 15

Next, let's convert the mixed number 15 to an improper fraction.
15 = (15 * 1)/1 = 15/1

Now the expression becomes:
184/15 - 7 + 7/15 + 15/1

To add or subtract fractions, we need to find a common denominator. In this case, the smallest common denominator is 15.

Now, let's rewrite the fractions with a common denominator:

(184 - 7 * 15 + 7 + 15 * 15) / 15

Simplifying further:
(184 - 105 + 7 + 225) / 15
(86 + 232) / 15
318 / 15

Lastly, we can simplify the fraction:
318 ÷ 15
The simplified form is 21 3/15, which can be further reduced to 21 1/5.

Therefore, 12 8/15 - 7 + 7/15 + 15 simplifies to 21 1/5.