Question

12 and 8/15- 7 + 7/15 + 15 simply answer

Answer 1

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

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

2. Convert the whole number \(7\) and \(15\) into fractions with a denominator of \(15\):
\[
7 = \frac{7 \times 15}{15} = \frac{105}{15}
\]
\[
15 = \frac{15 \times 15}{15} = \frac{225}{15}
\]

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

4. Combine the fractions:
\[
\frac{188 - 105 + 7 + 225}{15} = \frac{188 - 105 + 7 + 225}{15} = \frac{188 + 7 - 105 + 225}{15}
\]
Calculate the numerator:
\[
188 - 105 = 83
\]
\[
83 + 7 = 90
\]
\[
90 + 225 = 315
\]
So, the combined fraction is:
\[
\frac{315}{15}
\]

5. Now, simplify \(\frac{315}{15}\):
\[
\frac{315 \div 15}{15 \div 15} = \frac{21}{1} = 21
\]

The simplified answer is:
\[
\boxed{21}
\]