What is 12 8/15-7+7/15+15 simplify your answer

Answer 1

To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to convert the mixed number 12 8/15 into an improper fraction.

First, we multiply the whole number 12 by the denominator of the fraction, which is 15:
12 * 15 = 180

Then, we add the numerator 8 to the product:
180 + 8 = 188

Now, we put the obtained sum over the denominator 15:
188/15

The expression becomes:
188/15 - 7 + 7/15 + 15

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

Now, let's convert each fraction to have this common denominator:

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

Next, we can add or subtract the numerators:

(188 - 7) / 15 + (7 + 15) / 15

Simplifying further:

181/15 + 22/15

Finally, we can combine the fractions:

(181 + 22) / 15

Therfore, the simplified answer is:
203/15