Question

a tank has 82 ¾ litres of water 24 4/5 litres were used and the tank was filled with another 18 ¾ litres.what is the final volume of water in the tank.​

Answer 1

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"a tank has 82 3/4 liters of water.24 4/5 liters were used"   means

     82  3/4

  -  24  4/5

--------------

Let's convert the fractions so they have a common denominator:

     82  15/20

   - 24  16/20

 ----------------

We can subtract the whole numbers, but we have to "borrow one" so we can subtract the fractions:

     81  35/20

   - 24  16/20

 ----------------

     57  19/20           (notice how we had to "borrow one" here also)

Then, "tank was filled with another 18 5/7 liters"

     57  19/20

 +  18   5/7

-----------------

Let's find common denominator again:

     57  133/140

  + 18  100/140

  ------------------

     75   233/140        [but, this is an improper fraction, so let's convert it]

     76    93/140 liter

Answer 2

Answer:

"a tank has 82 3/4 liters of water.24 4/5 liters were used" means

82 3/4

- 24 4/5

--------------

Let's convert the fractions so they have a common denominator:

82 15/20

- 24 16/20

----------------

We can subtract the whole numbers, but we have to "borrow one" so we can subtract the fractions:

81 35/20

- 24 16/20

----------------

57 19/20 (notice how we had to "borrow one" here also)

Then, "tank was filled with another 18 5/7 liters"

57 19/20

+ 18 5/7

-----------------

Let's find common denominator again:

57 133/140

+ 18 100/140

------------------

75 233/140 [but, this is an improper fraction, so let's convert it

76 93/140 liter