The time taken in History assignment = 2/5 hour
Time taken in English assignment = 1/3 hour
Total time should be the sum of time taken in doing assignment of history and time taken in doing assignment of English
Let us add up these two time : ( 2/5 ) +( 1/3)
both fractions have different number in the bottom
to sum up the two fractions we need to have same number in both the fractions
let us start with finding least common denominator
the smallest number which is divisible by 5 as well as by 3 is : 15
so let us try to make 15 in the denominator of both fractions
first fraction need to be multiply by 3/3 and second fraction need to be multiplied by 5/5
3 * 2 + 5* 1
---------------- ----------
3* 5 5* 3
= 6 + 5
--- ----
15 15
( 6 + 5) /15 = 11/15 hour
Answer : 11/15 hours
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