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Rzqust [24]
3 years ago
7

gemlia filled a bucket with 5 2/3 gallons of the water. later,she poured out 2 4/9 gallons of the water. how much water is left

in the bucket?
Mathematics
1 answer:
Westkost [7]3 years ago
5 0

The water in the bucket = 5\frac{2}{3} gallons.

Gemlia poured out water from the bucket = 2\frac{4}{9} gallons

First we will have to convert the mixed fraction to improper fraction.

5\frac{2}{3} = \frac{(5)(3)+2}{3} = \frac{(15+2)}{3} = \frac{17}{3}

2\frac{4}{9}= \frac{(2)(9)+4}{9}=\frac{(18+4)}{9}=\frac{22}{9}

To find the left over water we have to subtract poured out water from total amount of water.

So we will get,

\frac{17}{3} - \frac{22}{9}

To subtract them first we have to make the denominatior same. As 9 is multiple of 3, so we can make the common denominator as 3.

To make the denominator of the first fraction as 3, we know that 3 times 3 is 9, So we will multiply the numerator and denominator of the first fraction by 3.

\frac{(17)(3)}{(3)(3)} - \frac{22}{9}

\frac{51}{9} - \frac{22}{9}

Now as the denominator is same , we will subtract the numerator.

\frac{(51-22)}{9}

\frac{29}{9}

So we have got there is \frac{29}{9} gallons of water left in the bucket.

We will convert that improper fraction to mixed fraction now.

\frac{29}{9} = 3\frac{2}{9}

So the required answer is 3\frac{2}{9} gallons of water left over in the bucket.

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