Question

What is 12 8/15 − 7 + 7/15 + 15 ? Simplify your answer.(1 point)

Answer 1

To solve the expression \( 12 \frac{8}{15} - 7 + \frac{7}{15} + 15 \), we can follow these steps:

1. **Convert the mixed number to an improper fraction:**
\[
12 \frac{8}{15} = \frac{12 \times 15 + 8}{15} = \frac{180 + 8}{15} = \frac{188}{15}
\]

2. **Convert the whole numbers to fractions with a common denominator:**
\( 7 \) and \( 15 \) can be expressed as:
\[
7 = \frac{7 \times 15}{15} = \frac{105}{15}
\]
\[
15 = \frac{15 \times 15}{15} = \frac{225}{15}
\]

3. **Now rewrite the expression with fractions:**
\[
\frac{188}{15} - \frac{105}{15} + \frac{7}{15} + \frac{225}{15}
\]

4. **Combine the fractions:**
\[
\frac{188 - 105 + 7 + 225}{15} = \frac{188 - 105 + 7 + 225}{15}
\]
\[
= \frac{188 - 105 + 7 + 225}{15} = \frac{83 + 7 + 225}{15} = \frac{90 + 225}{15} = \frac{315}{15}
\]

5. **Simplify the result:**
\[
\frac{315}{15} = 21
\]

Thus, the simplified result of \( 12 \frac{8}{15} - 7 + \frac{7}{15} + 15 \) is \( \boxed{21} \).