A water tank can hold 56 5/7 litres of water. How much water is contained when it is 2/5 full?
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A water tank can hold 56 5/7 litres of water. How much water is contained when it is 2/5 full?
To find out how much water is contained when the tank is 2/5 full, we first need to calculate 2/5 of the tank's capacity.
First, convert the mixed number 56 5/7 to an improper fraction. To do this, multiply the whole number (56) by the denominator (7) and add the numerator (5), then put the result over the denominator.
56 * 7 = 392
392 + 5 = 397
So, the tank's capacity is 397/7 litres.
Next, to determine how much water is contained when it is 2/5 full, multiply the capacity by the fraction:
(2/5) * (397/7)
To simplify this multiplication, you can cancel out any common factors between the numerator and denominator. In this case, the number 5 can be factored out.
2/5 can be simplified as (2 * 1) / (5 * 1), which gives us 2/5.
397/7 can be simplified as (397 * 1) / (7 * 1), which gives us 397/7.
So, multiplying these fractions gives us:
(2/5) * (397/7) = (2 * 397) / (5 * 7) = 794 / 35
Therefore, when the tank is 2/5 full, it contains 794/35 litres of water.