Question

Question #be106

Answer 1

Max has `3/10` qt of apple juice left.

Explanation:

This is a simple subtraction sum using fractions.

Max has `4/5` qt of apple juice and he drinks `1/2` qt of it.

So we have to subtract the quantity he drank from the original quantity he had to calculate the quantity remaining.

`4/5-1/2`

In order to subtract fractions, the denominator should be the same so as to subtract the numerators. To do this we determine the LCM of the denominators.

`2=>2 . 4 . 6 . 8 . color(blue)(10)`

`5=>5 . color(blue)(10)`

Now that we know the LCM of the denominators, we multiply both the numerators and the denominators of each fraction by the same number to get equivalent fractions with the LCM as denominator.

Hence:

`[4/5xx2/2]-[1/2xx5/5]`

`8/10-5/10`

Now that we have the same denominator, we simply subtract the smaller numerator from the larger one.

`(8-5)/10`

`3/10`

The quantity of apple juice left is `3/10` qt.