Question

multiply fractions by whole numbers: word problems witt
last spring, the mercer high school track team spent a total of 32 hours in practice. of that time, 13/20 was spent running relays. how many hours did the track team spend running relays in practice?
write your answer as a fraction or as a whole or mixed number.
blank hours
submit

Explanation:

Step1: Convert whole number to fraction

$32 = \frac{32}{1}$

Step2: Multiply fractions

$\frac{13}{20} \times \frac{32}{1} = \frac{13 \times 32}{20 \times 1} = \frac{416}{20}$

Step3: Simplify the fraction

$\frac{416 \div 4}{20 \div 4} = \frac{104}{10} = \frac{52}{5} = 10\frac{2}{5}$

Wait, correction: 13×32=416, 416÷20=20.8=104/5? No, 13×32=416, 416÷20=20.8=104/5 is wrong. 32×13=416, 416/20=104/5=20.8=20 4/5. Oh right, 20×20=400, 416-400=16, so 20 +16/20=20+4/5=20 4/5.

Correct Step2: $\frac{13}{20}×32 = \frac{13×32}{20} = \frac{416}{20}$
Correct Step3: Simplify $\frac{416÷4}{20÷4} = \frac{104}{5} = 20\frac{4}{5}$

Final Answer: $20\frac{4}{5}$ or $\frac{104}{5}$

Step1: Set up multiplication

$\frac{13}{20} \times 32$

Step2: Calculate numerator

$13 \times 32 = 416$

Step3: Simplify fraction

$\frac{416}{20} = \frac{104}{5} = 20\frac{4}{5}$

Answer:

$\frac{208}{5}$ or $41\frac{3}{5}$