Question

Add 3 5/7+7 1/2
. What is the sum?(1 point)

Answer 1

Are you sur

Answer 2

I have a question

Answer 3

To add the mixed numbers \( 3 \frac{5}{7} \) and \( 7 \frac{1}{2} \), we can follow these steps:

1. **Convert the mixed numbers to improper fractions**:
- For \( 3 \frac{5}{7} \):
\[
3 \frac{5}{7} = \frac{3 \times 7 + 5}{7} = \frac{21 + 5}{7} = \frac{26}{7}
\]
- For \( 7 \frac{1}{2} \):
\[
7 \frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{14 + 1}{2} = \frac{15}{2}
\]

2. **Find a common denominator**:
The least common multiple of 7 and 2 is 14.

- Convert \( \frac{26}{7} \) to a fraction with a denominator of 14:
\[
\frac{26}{7} = \frac{26 \times 2}{7 \times 2} = \frac{52}{14}
\]
- Convert \( \frac{15}{2} \) to a fraction with a denominator of 14:
\[
\frac{15}{2} = \frac{15 \times 7}{2 \times 7} = \frac{105}{14}
\]

3. **Add the fractions**:
Now that we have both fractions with a common denominator:
\[
\frac{52}{14} + \frac{105}{14} = \frac{52 + 105}{14} = \frac{157}{14}
\]

4. **Convert the improper fraction back to a mixed number**:
Divide 157 by 14:
- \( 157 \div 14 = 11 \) (whole number part)
- Remainder: \( 157 - (11 \times 14) = 157 - 154 = 3 \)

So, \( \frac{157}{14} = 11 \frac{3}{14} \).

Thus, the sum of \( 3 \frac{5}{7} + 7 \frac{1}{2} \) is:
\[
\boxed{11 \frac{3}{14}}
\]