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

Question

Responses

41 15/15
41 Start Fraction 15 over 15 End Fraction

35
35

21
21

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

Answer 1

To simplify 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 integer 7 to a fraction with a denominator of 15: \[ 7 = \frac{7 \times 15}{15} = \frac{105}{15} \]

3. Convert the integer 15 to a fraction with a denominator of 15: \[ 15 = \frac{15 \times 15}{15} = \frac{225}{15} \]

4. So now substitute these values into the expression: \[ \frac{188}{15} - \frac{105}{15} + \frac{7}{15} + \frac{225}{15} \]

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

6. Simplify the fraction: \[ \frac{315}{15} = 21 \]

Therefore, the simplified answer is: \[ \boxed{21} \]