Fraction Multiplication in a Marble Collection
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In a marble collection, $1/8$ of the marbles are blue. Of the blue marbles, $1/2$ have sparkles. What fraction of the marbles in the collection are blue with sparkles?
A. $1/12$
B. $4$
C. $1/16$
D. $5/8$
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Step by Step Written Solution
In this problem, we need to find the fraction of the total marble collection that are both blue and have sparkles.
Fraction Problem Analysis
The problem states that one eighth of the marbles in the collection are blue. Let's write that down first.
Next, it says that of those blue marbles, one half have sparkles. This is a fraction of a fraction.
To find the fraction of the total collection that is both blue and has sparkles, we multiply these two fractions together.
Total fraction = (Blue fraction) times (Sparkle fraction within blue)
Let's set up the multiplication: one eighth times one half.
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