Question
valuate. \( \left(\frac{1}{2}+\frac{3}{4}\right)-\frac{7}{8} \) Enter your answer as a fraction in simplest form by filling in the boxes.
Ask by Lynch Flynn. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is \( \frac{3}{8} \).
Solution
Calculate or simplify the expression \( (1/2+3/4)-7/8 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{1}{2}+\frac{3}{4}\right)-\frac{7}{8}\)
- step1: Add the numbers:
\(\frac{5}{4}-\frac{7}{8}\)
- step2: Reduce fractions to a common denominator:
\(\frac{5\times 2}{4\times 2}-\frac{7}{8}\)
- step3: Multiply the numbers:
\(\frac{5\times 2}{8}-\frac{7}{8}\)
- step4: Transform the expression:
\(\frac{5\times 2-7}{8}\)
- step5: Multiply the numbers:
\(\frac{10-7}{8}\)
- step6: Subtract the numbers:
\(\frac{3}{8}\)
The value of \( \left(\frac{1}{2}+\frac{3}{4}\right)-\frac{7}{8} \) is \( \frac{3}{8} \) or 0.375.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To evaluate \( \left(\frac{1}{2}+\frac{3}{4}\right)-\frac{7}{8} \), let's first simplify inside the parentheses. Convert \(\frac{1}{2}\) into a fraction with a denominator of 4: \[ \frac{1}{2} = \frac{2}{4} \] Now, add \(\frac{2}{4}\) and \(\frac{3}{4}\): \[ \frac{2}{4} + \frac{3}{4} = \frac{5}{4} \] Now we subtract \(\frac{7}{8}\) from \(\frac{5}{4}\). First, we need a common denominator for \( \frac{5}{4} \) and \( \frac{7}{8} \). The common denominator is 8. Convert \(\frac{5}{4}\): \[ \frac{5}{4} = \frac{10}{8} \] Now perform the subtraction: \[ \frac{10}{8} - \frac{7}{8} = \frac{3}{8} \] Thus, the final answer is: \[ \frac{3}{8} \]
