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\( \left(\frac{3}{4}-a\right) \times 4 \) for \( a=\frac{1}{5} \)

Ask by Burns Ortega. in the United States
Mar 12,2025

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The final answer is \( \frac{11}{5} \).

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The Deep Dive

First, plug in \( a = \frac{1}{5} \) into the expression: \[ \left(\frac{3}{4} - \frac{1}{5}\right) \times 4 \] To subtract the fractions, we need a common denominator. The least common multiple of 4 and 5 is 20. Now we convert the fractions: \[ \frac{3}{4} = \frac{15}{20} \quad \text{and} \quad \frac{1}{5} = \frac{4}{20} \] So, the expression becomes: \[ \left(\frac{15}{20} - \frac{4}{20}\right) \times 4 = \left(\frac{11}{20}\right) \times 4 \] Now, multiply: \[ \frac{11}{20} \times 4 = \frac{44}{20} \] This fraction simplifies to: \[ \frac{44}{20} = \frac{11}{5} = 2.2 \] Therefore, the final result is \( 2.2 \).

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