Answer:
Sanjeev kept 19/30 of his cake.
Explanation:
So, if Sanjeev ate 1/6 of the cake there will be 5/6 of the cake left over.
He gave 1/5 of this 5/6 to his friend.
He did not give 1/5 of the entire cake, he gave 1/5 of the remainder of his cake, which was 5/6.
To solve this, we must first convert both fractions to the same denominator.
1/5 and 5/6 becomes 6/30 and 25/30
He gave away 6/30 of this 25/30
It is now clear that we must take away how much he gave away from the remainder of the cake.
25/30 subtract 6/30 becomes 19/30
We cannot simplify this.
Therefore, Sanjeev kept 19/30 of his cake.