Question
a) \( \left(\frac{3}{4}+\frac{1}{2}\right) \cdot \frac{1}{2}= \)
Ask by Donnelly Gross. in Croatia
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result is \( \frac{5}{8} \) or 0.625.
Solution
Calculate or simplify the expression \( (3/4+1/2)*1/2 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(\frac{3}{4}+\frac{1}{2}\right)\times 1}{2}\)
- step1: Add the numbers:
\(\frac{\frac{5}{4}\times 1}{2}\)
- step2: Multiply:
\(\frac{\frac{5}{4}}{2}\)
- step3: Multiply by the reciprocal:
\(\frac{5}{4}\times \frac{1}{2}\)
- step4: Multiply the fractions:
\(\frac{5}{4\times 2}\)
- step5: Multiply:
\(\frac{5}{8}\)
The result of \( \left(\frac{3}{4}+\frac{1}{2}\right) \cdot \frac{1}{2} \) is \( \frac{5}{8} \) or 0.625.
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Simplify this solution The Deep Dive
To solve this, start by simplifying the expression inside the parentheses: \( \frac{3}{4} + \frac{1}{2} \). Convert \( \frac{1}{2} \) to have a common denominator of 4: \( \frac{1}{2} = \frac{2}{4} \). Now add: \( \frac{3}{4} + \frac{2}{4} = \frac{5}{4} \). Next, multiply this result by \( \frac{1}{2} \): \( \frac{5}{4} \cdot \frac{1}{2} = \frac{5 \times 1}{4 \times 2} = \frac{5}{8} \). So, \( \left(\frac{3}{4}+\frac{1}{2}\right) \cdot \frac{1}{2} = \frac{5}{8} \).
