Question

Patty rides her bike 2 3/4 miles to school. She rides 3 5/6 miles to get back home, because she needs to meet her brother at school first. How many miles does Patty ride her bike? Explain how you know that your answer is reasonable.

Answer 1

6 7/12 miles

Explanation:

Explanation: The total miles she rides is the miles she rides to school + the miles she rides back

Step 1: Convert both mixed numbers into fractions.

2 3/4 = 11/4

3 5/6 = 23/6

Step 2: Find GCF by multiplying both fractions by opposing denominators

11/4 = 66/24 (11 * 6 = 66, 4 * 6 = 24)

23/6 = 92/24 (23 * 4 = 92, 6*4=24)

Step 3: Add both fractions

92/24 + 66/24 = 158/24

Step 4: Simplify

158/24= 79/12 = 6 7/12 miles