What is 12 8/15 − 7 + 715 + 15? Simplify your answer.

Question

201515
20 Start Fraction 15 over 15 End Fraction

21
21

411515
41 Start Fraction 15 over 15 End Fraction

35

Answer 1

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 2

thats not AN ANSWER

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!