What is12 8/15 - 7 + 7/15 + 15 in simplest form?

A. 35
B. 41 15/15
C. 20 15/15
D. 21

1 answer

To solve the expression \( 12 \frac{8}{15} - 7 + \frac{7}{15} + 15 \), let's break it down step by step.

1. Combine the whole numbers first:
\[
12 + 15 = 27
\]

2. Then handle the fractions:
\[
\frac{8}{15} + \frac{7}{15} = \frac{15}{15} = 1
\]

3. Subtract 7 (which is a whole number):
\[
27 + 1 - 7
\]
Simplify this step-by-step:
\[
28 - 7 = 21
\]

The expression in simplest form is \( 21 \).

So the correct answer is:
D. \( 21 \).