What is 12 8/15 - 7 + 7/15 + 15? Simplify the answer.

Question

Answer Choices
41 15/15
20 15/15
35
21

Answer 1

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

1. Convert mixed numbers to improper fractions:

   • \( 12 \frac{8}{15} = \frac{12 \times 15 + 8}{15} = \frac{180 + 8}{15} = \frac{188}{15} \)

2. Convert whole numbers to fractions:

   • \( 7 = \frac{7 \times 15}{15} = \frac{105}{15} \)
   • \( 15 = \frac{15 \times 15}{15} = \frac{225}{15} \)

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

4. Combine the fractions:

   • First, we calculate \( \frac{188}{15} - \frac{105}{15} \): \[ \frac{188 - 105}{15} = \frac{83}{15} \]
   • Now, add \( \frac{7}{15} \): \[ \frac{83}{15} + \frac{7}{15} = \frac{83 + 7}{15} = \frac{90}{15} \]
   • Finally, add \( \frac{225}{15} \): \[ \frac{90}{15} + \frac{225}{15} = \frac{90 + 225}{15} = \frac{315}{15} \]

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

So the result is \( 21 \).

The correct answer is: 21.