Question

Find the volume of the rectangular prism. Express your answer as a simplified mixed number.

8 3/8m x 2m x 8 1/4m

Answer 1

@AZ

Answer 2

do you know how to make a mixed number into an improper fraction?

for example

2 1/4

would become

(2*4) + 1 all over 4

so 8+1 = 9

2 1/4 = 9/4

Answer 3

can you do that for 8 3/8 ?

Answer 4

Yes, 8 3/8 = 27/8?

Answer 5

No...67/8

Answer 6

You got it now!

Now what about 8 1/4

Answer 7

33/4

Answer 8

Wonderful!

Answer 9

Now we can multiply the fractions

so when multiplying fractions, you just multiply the numerators across
and the denominators across

so basically
\(\sf{\dfrac{a}{b}\times \dfrac{c}{d} = \dfrac{a\times c}{b \times d}}\)

Answer 10

remember: 2 is the same thing as 2/1

Answer 11

so what is

\(\dfrac{67}{8} \times \dfrac{2}{1} = \)

we can multiply by 33/4 afterwards

if you notice, we can actually simplify it because we have 2 in the numerator and 8 in the denominator so basically we get rid of the 2 and we're left with 4 in the denominator

but if you don't understand how to do that, no worries, just multiply like normal

Answer 12

Oh the answer 134/8

Answer 13

good now

\( \dfrac{134}{8} \times \dfrac{33}{4} = ?\)

Answer 14

4,422/32

Answer 15

now let's try to simplify it

what do you get if you divide both the numerator and denominator by 2

4422 / 2 =

and 32 / 2 =

Answer 16

4422/32 = 138 3/16

Answer 17

Good job!

Answer 18

Moved to Mathematics - Closed because it was answered.