Problem 115
Question
Perform the indicated operation. Write the answer as an algebraic expression. $$\frac{3}{4} \cdot \frac{a}{5}$$
Step-by-Step Solution
Verified Answer
The answer to the operation is \(\frac{3a}{20}\)
1Step 1: Understanding the Multiplication of Fractions
When multiplying fractions, each numerator is multiplied with the other numerator and each denominator is multiplied with the other denominator. The operation can be represented as \(\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}\)
2Step 2: Applying the Fraction Multiplication to the Exercise
Applying the multiplication rule to \(\frac{3}{4} \cdot \frac{a}{5}\) results in \(\frac{3 \cdot a}{4 \cdot 5}\)
3Step 3: Simplifying the multiplication
Performing the multiplication in the fraction \(\frac{3 \cdot a}{4 \cdot 5}\) results in \(\frac{3a}{20}\)
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