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Mathematics 7 Online
OpenStudy (ebonyserrano):

The container that holds the water for the football team is 1/2 full. After pouring in 9 gallons of water, it is 4/5 full. How many gallons can the container hold?

OpenStudy (ebonyserrano):

@MiaSan5653

OpenStudy (miasan5653):

find a common denominator for 1/2 and 4/5 and convert the fractions so that they share it.

OpenStudy (ebonyserrano):

the common denominator would be one?

OpenStudy (miasan5653):

It would be ten. The common denominator is the number that is the same on the bottom. Its easiest to find it by multiplying the bottom halves of the fraction together.

OpenStudy (ebonyserrano):

so 2/10 and 4/10

OpenStudy (miasan5653):

Not quite. Since you are multiplying the bottom by five in the first fraction, you have to multiply the top by five too. The first fraction is 5/10 Based on that can you find the second

OpenStudy (ebonyserrano):

so 10/10=1

OpenStudy (ebonyserrano):

@MiaSan5653

OpenStudy (miasan5653):

Yes.

OpenStudy (miasan5653):

4/5 turns into 8/10

OpenStudy (ebonyserrano):

so the container holds 8/10 gallons

OpenStudy (miasan5653):

Yes. You then subtract the amount it holds now from the amount it started with

OpenStudy (ebonyserrano):

3?

OpenStudy (miasan5653):

Yes. It was filled an additional 3/t0 of the way

OpenStudy (ebonyserrano):

that wasn't correct it said

OpenStudy (miasan5653):

Since nine additional gallons were added in, you can divide nine by three to see how many gallons are in each tenth

OpenStudy (ebonyserrano):

it'll still be 3

OpenStudy (ebonyserrano):

wouldnt it?

OpenStudy (miasan5653):

Yeah. 1/10 is three gallons. You then have to multiply that by ten to get the total amount that the container can be filled

OpenStudy (ebonyserrano):

1

OpenStudy (ebonyserrano):

@MiaSan5653

OpenStudy (miasan5653):

Not quite. If three gallons are 1/10 then 3x 10 will be the total

OpenStudy (ebonyserrano):

3x 10?

OpenStudy (ebonyserrano):

???

OpenStudy (miasan5653):

Yes. the tank can hold 30 gallons total since three times ten is thirty which is all ten tenths

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