The ratio of the number of marbles Keddy has to the number of marbles Diana has is 3 : 8.What fraction of the total number of marbles is Keddy's marbles?
Question
The ratio of the number of marbles Keddy has to the number of marbles Diana has is 3 : 8.
What fraction of the total number of marbles is Keddy's marbles?
Solution
Step 1: Understand the ratio. The ratio of the number of marbles Keddy has to the number of marbles Diana has is 3:8. This means that for every 3 marbles Keddy has, Diana has 8.
Step 2: Calculate the total number of parts. In this ratio, the total number of parts is 3 (for Keddy) + 8 (for Diana) = 11 parts.
Step 3: Determine the fraction. The fraction of the total number of marbles that Keddy has is represented by the number of parts Keddy has out of the total number of parts. So, Keddy has 3 out of 11 parts of the total number of marbles.
Therefore, the fraction of the total number of marbles that Keddy has is 3/11.
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