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Question
a wedding cake was cut into 40 slices. if 16 of the slices were eaten, what fraction represents the eaten portion of the cake? reduce your answer to lowest terms. 16/40 × your answer must be a reduced fraction or integer.
Step1: Find GCD of 16 and 40
The greatest common divisor (GCD) of 16 and 40. Factors of 16: 1, 2, 4, 8, 16. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40. GCD is 8.
Step2: Divide numerator and denominator by GCD
Divide 16 and 40 by 8. $\frac{16\div8}{40\div8}=\frac{2}{5}$
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$\frac{2}{5}$