Fractions : 1. Jack spends 1 1/2 as long on his homework than Jill. Last week, Jill spent 8 3/4 hours doing homework. How long did Jack spend doing his homework? 2. And the week before, Jack spent 24 1/2hours, how long did Jill spend doing her homework?

Question

jack1 · Answer

jacks homework time = jills homework time x 1.5

so if jill's homework time = 8 + 3/4
jacks homework time = jills homework time x 1.5
jacks homework time = (8 + 3/4) x 1.5
$$\frac{ 3 }{ 2 }\times (8\frac{ 3 }{ 4 })$$

missmob · Answer

wouldnt we like convert them into improper first

anonymous · Answer

When it's x1.5, how would you do that?

jack1 · Answer

1.5 = 1 and 1/2 = 2/2 and 1/2 = 3/2

anonymous · Answer

What would the answer be?

jack1 · Answer

8 and 3/4 = (8*4)/4 + 3/4 = 32/4 and 3/4 = 35/4

jack1 · Answer

so 3/2    x    35/4   = final answer

anonymous · Answer

what about part 2?

jack1 · Answer

$$\frac{ 3 }{ 2 }\times \frac{ 35 }{ 4 } = \frac{ 3\times 35 }{ 2 \times 4  } =???$$

jack1 · Answer

part 2:
use same equation
jacks homework time = jills homework time x 1.5
24.5                         = jills homework time x 1.5
24.5 / 1.5                 = jills homework time

anonymous · Answer

so would the first one be, 13 1/8?

jack1 · Answer

yep = 105/8 = 13 and 1/8