Question

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

21
21

35
35

20 15/15
20 Start Fraction 15 over 15 End Fraction

41 15/15

Answer 1

Let's simplify the expression step by step:

1. **Start with the expression**:
\( 12 \frac{8}{15} - 7 + \frac{7}{15} + 15 \)

2. **Convert the mixed number to an improper fraction**:
\( 12 \frac{8}{15} = \frac{12 \times 15 + 8}{15} = \frac{180 + 8}{15} = \frac{188}{15} \)

3. **Combine the whole numbers (converting them to fractions)**:
- Convert 7 to a fraction:
\( 7 = \frac{7 \times 15}{15} = \frac{105}{15} \)
- Convert 15 to a fraction:
\( 15 = \frac{15 \times 15}{15} = \frac{225}{15} \)

4. **Now the expression** looks like this:
\( \frac{188}{15} - \frac{105}{15} + \frac{7}{15} + \frac{225}{15} \)

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

6. **Calculate the numerator**:
\( 188 + 7 = 195 \)
\( 195 - 105 = 90 \)
\( 90 + 225 = 315 \)

Thus, we have:
\[
\frac{315}{15}
\]

7. **Simplify the fraction**:
\( 315 \div 15 = 21 \)

Hence, the answer is:
**21**