Question

What is 12 8/15 − 7 + 715 + 15? Simplify your answer.
201515
20 Start Fraction 15 over 15 End Fraction

21
21

411515
41 Start Fraction 15 over 15 End Fraction

35

Answer 1

thats not AN ANSWER

Answer 2

To solve the expression \( 12 \frac{8}{15} - 7 + 715 + 15 \), we will first convert all the mixed numbers and whole numbers into improper fractions for easier calculations.

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

2. **Convert 7 to a fraction with a denominator of 15**:
\[
7 = \frac{7 \times 15}{15} = \frac{105}{15}
\]

3. **Convert 715 to a fraction with a denominator of 15**:
\[
715 = \frac{715 \times 15}{15} = \frac{10725}{15}
\]

4. **Convert 15 to a fraction with a denominator of 15**:
\[
15 = \frac{15 \times 15}{15} = \frac{225}{15}
\]

Now, we substitute these fractional representations back into the expression:

\[
\frac{188}{15} - \frac{105}{15} + \frac{10725}{15} + \frac{225}{15}
\]

Next, we combine the fractions by adding and subtracting the numerators:

\[
= \frac{188 - 105 + 10725 + 225}{15}
\]
\[
= \frac{188 - 105}{15} + \frac{10725 + 225}{15}
\]
\[
= \frac{83 + 10950}{15}
\]
\[
= \frac{10950 + 83}{15}
\]
\[
= \frac{11033}{15}
\]

Now, we need to simplify \(\frac{11033}{15}\). Since 11033 and 15 have no common factors other than 1, this fraction is in its simplest form.

Finally, we can express our answer as:

\[
= 735 \frac{8}{15}
\]

Thus, the value of \( 12 \frac{8}{15} - 7 + 715 + 15 \) simplifies to:

\[
735 \frac{8}{15}
\]

Answer 3

I apologize for any confusion. Let's simplify \( 12 \frac{8}{15} - 7 + 715 + 15 \) step by step more clearly.

### Step 1: Convert Mixed Numbers to Improper Fractions and Whole Numbers

**Mixed Number to Improper Fraction:**
- \( 12 \frac{8}{15} = \frac{12 \times 15 + 8}{15} = \frac{180 + 8}{15} = \frac{188}{15} \)

**Convert Other Numbers:**
- \( 7 = \frac{7 \times 15}{15} = \frac{105}{15} \)
- \( 715 = 715 \) (this is a whole number)
- \( 15 = \frac{15 \times 15}{15} = \frac{225}{15} \)

### Step 2: Rewriting the Original Expression

Now we can rewrite the expression:
\[
12 \frac{8}{15} - 7 + 715 + 15 = \frac{188}{15} - \frac{105}{15} + 715 + \frac{225}{15}
\]

### Step 3: Combine the Fractions

First, focus on the fractions:
\[
\frac{188 - 105 + 225}{15} = \frac{188 - 105 + 225}{15} = \frac{83 + 225}{15} = \frac{308}{15}
\]

Then, add the whole number \( 715 \) to the result:
\[
\frac{308}{15} + 715
\]
Convert \( 715 \) to a fraction with a denominator of 15:
\[
715 = \frac{715 \times 15}{15} = \frac{10725}{15}
\]

Now add this to the fraction:
\[
\frac{308 + 10725}{15} = \frac{11033}{15}
\]

### Final Result
Now, we can leave the answer as it is or convert it back into a mixed number.

**Convert \(\frac{11033}{15}\) into a mixed number:**
1. Divide \( 11033 \) by \( 15 \):
- \( 11033 \div 15 = 735.53 \), hence \( 735 \) is the whole number part.
2. Multiply: \( 735 \times 15 = 11025\).
3. Subtract to find the remainder: \( 11033 - 11025 = 8\).

Thus, the mixed number is:
\[
735 \frac{8}{15}
\]

### Final Answer
So the simplified result of the entire expression \( 12 \frac{8}{15} - 7 + 715 + 15 \) is:
\[
735 \frac{8}{15}
\]

Thank you for your patience, and I hope this answer is clearer!