11. Allie is training for a triathlon. On Mondays, she runs $$ 3 \frac{1}{2} $$ miles and swims $$ 7 \frac{5}{8} $$ miles. How many miles does Allie run and swim on Mondays? 5. FR.2.1 $$ \begin{array}{ll} ext { (A) } 2 \frac{1}{8} ext { miles } & ext { (a) } 5 \frac{1}{8} ext { miles } \ ext { (B) } 2 \frac{2}{3} ext { miles } & ext { (D) } 5 \frac{1}{4} ext { miles }\end{array} $$

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11. Allie is training for a triathlon. On Mondays, she runs $$ 3 \frac{1}{2} $$ miles and swims $$ 7 \frac{5}{8} $$ miles. How many miles does Allie run and swim on Mondays? 5. FR.2.1 $$ \begin{array}{ll}	ext { (A) } 2 \frac{1}{8} 	ext { miles } & 	ext { (a) } 5 \frac{1}{8} 	ext { miles } \ 	ext { (B) } 2 \frac{2}{3} 	ext { miles } & 	ext { (D) } 5 \frac{1}{4} 	ext { miles }\end{array} $$

UpStudy AI · Accepted Answer

To find out how many miles Allie runs and swims on Mondays, we need to add the distances she runs and swims together.

1. **Convert the mixed numbers to improper fractions:**
   - For running $$ 3 \frac{1}{2} $$:
     $$
     3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}
     $$
   - For swimming $$ 7 \frac{5}{8} $$:
     $$
     7 \frac{5}{8} = \frac{7 \times 8 + 5}{8} = \frac{56 + 5}{8} = \frac{61}{8}
     $$

2. **Find a common denominator to add the fractions:**
   - The denominators are 2 and 8. The least common denominator (LCD) is 8.
   - Convert $$ \frac{7}{2} $$ to have a denominator of 8:
     $$
     \frac{7}{2} = \frac{7 \times 4}{2 \times 4} = \frac{28}{8}
     $$

3. **Add the two fractions:**
   $$
   \frac{28}{8} + \frac{61}{8} = \frac{28 + 61}{8} = \frac{89}{8}
   $$

4. **Convert the improper fraction back to a mixed number:**
   - Divide 89 by 8:
     $$
     89 \div 8 = 11 \quad \text{(remainder 1)}
     $$
   - So, $$ \frac{89}{8} = 11 \frac{1}{8} $$.

Thus, Allie runs and swims a total of $$ 11 \frac{1}{8} $$ miles on Mondays.

However, it seems that the options provided do not include this answer. Let's double-check the calculations and ensure we have interpreted the problem correctly.

The options provided are:
- (A) $$ 2 \frac{1}{8} $$ miles
- (B) $$ 2 \frac{2}{3} $$ miles
- (C) $$ 5 \frac{1}{8} $$ miles
- (D) $$ 5 \frac{1}{4} $$ miles

Since none of these options match our calculated total, it appears there may have been a misunderstanding in the problem or the options provided.

The correct total distance Allie runs and swims on Mondays is $$ 11 \frac{1}{8} $$ miles.
Allie runs and swims a total of $$ 11 \frac{1}{8} $$ miles on Mondays.

Allie is training for a triathlon. On Mondays,
she runs miles and swims miles. How
many miles does Allie run and swim on
Mondays? 5. FR.2.1

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Allie is training for a triathlon. On Mondays, she runs miles and swims miles. How many miles does Allie run and swim on Mondays? 5. FR.2.1