Question

1. jenna ran $2\frac{7}{8}$ kilometers each day for a week. how far did she run in all? give an estimate, then find the actual amount. show your work.

Explanation:

Step1: Estimate daily distance

Round $2\frac{7}{8}$ to 3 km (since $\frac{7}{8} \approx 1$).

Step2: Calculate estimated total

Multiply estimated daily distance by 7 days:
$3 \times 7 = 21$ km

Step3: Convert mixed number to improper fraction

$2\frac{7}{8} = \frac{2\times8 + 7}{8} = \frac{23}{8}$ km

Step4: Calculate actual total distance

Multiply daily distance by 7 days:
$\frac{23}{8} \times 7 = \frac{161}{8}$

Step5: Convert to mixed number

$\frac{161}{8} = 20\frac{1}{8}$ km

Answer:

Estimated distance: 21 kilometers
Actual distance: $20\frac{1}{8}$ kilometers (or $\frac{161}{8}$ kilometers)