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erma4kov [3.2K]
3 years ago
10

Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h

ours did Ronald spend on his homework?
A.10/8
B.2 5/8
C.5 1/8
D.21/2
Mathematics
2 answers:
Firdavs [7]3 years ago
8 0
5 1/4 times 1/2 = 2.625. as a fraction 2.625 is 2 5/8 because  .625 could be drawn out to 625/1000 125 goes into 625 and 1,000    625 divided by 125 = 5 and 1,000 divided by 125 is 8 we already had 2 so 2 5/8

Hope I helped =)

Elden [556K]3 years ago
5 0

Let

x-----> the number of hours that Candice spent doing her homework

y-----> the number of hours that Ronald spent doing his homework

we know that

x=5\frac{1}{4}\ hours

convert mixed number to an improper fraction

5\frac{1}{4}\ hours=\frac{5*4+1}{4}= \frac{21}{4}\ hours

so

x=\frac{21}{4}\ hours -------> equation A

y=\frac{1}{2}x ------> equation B

Substitute equation A in equation B

y=\frac{1}{2}*\frac{21}{4}=\frac{21}{8}\ hours

convert an improper fraction to a mixed number

\frac{21}{8}\ hours=2.625=2+0.625=2+\frac{5}{8}=2\frac{5}{8}\ hours

therefore

<u>the answer is the option B</u>

2\frac{5}{8}\ hours

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