Kieth spends 1/6 of his savings on a magazine and 2/5 of the remainder on a book. What fraction of his savings is left?
I'll be glad to check your answer.
15/30 of the savings is left
(5/6) * (2/5) = 10/30 = 1/3
To find out what fraction of his savings is left, we need to subtract the amounts Kieth spent from his total savings.
Let's break down the problem step by step:
1. Kieth spends 1/6 of his savings on a magazine.
- This means he has 5/6 (the remaining fraction) of his savings left.
2. Kieth then spends 2/5 of the remainder (5/6) on a book.
- To find out what fraction he has left, we subtract 2/5 from 5/6.
Subtracting fractions with different denominators requires finding a common denominator:
5/6 - 2/5
To find a common denominator, we multiply the denominators together:
6 * 5 = 30
Now we can rewrite the fractions with a common denominator:
(5/6) * (5/5) - (2/5) * (6/6)
Simplifying the fractions:
25/30 - 12/30
Subtracting the fractions:
(25 - 12) / 30 = 13/30
Therefore, Kieth has 13/30 of his savings left.