Question
Add. \[ -\frac{4}{7}+\frac{3}{4} \] Write your answer in simplest form, II,
Ask by King Peterson. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum is \(\frac{5}{28}\).
Solution
Calculate or simplify the expression \( -\frac{4}{7}+\frac{3}{4} \).
Calculate the value by following steps:
- step0: Calculate:
\(-\frac{4}{7}+\frac{3}{4}\)
- step1: Reduce fractions to a common denominator:
\(-\frac{4\times 4}{7\times 4}+\frac{3\times 7}{4\times 7}\)
- step2: Multiply the numbers:
\(-\frac{4\times 4}{28}+\frac{3\times 7}{4\times 7}\)
- step3: Multiply the numbers:
\(-\frac{4\times 4}{28}+\frac{3\times 7}{28}\)
- step4: Transform the expression:
\(\frac{-4\times 4+3\times 7}{28}\)
- step5: Multiply the numbers:
\(\frac{-16+3\times 7}{28}\)
- step6: Multiply the numbers:
\(\frac{-16+21}{28}\)
- step7: Add the numbers:
\(\frac{5}{28}\)
The sum of \(-\frac{4}{7}+\frac{3}{4}\) is \(\frac{5}{28}\) or approximately \(0.1785714\).
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution The Deep Dive
To add the fractions \(-\frac{4}{7}\) and \(\frac{3}{4}\), we first need a common denominator. The least common denominator of 7 and 4 is 28. Now, convert each fraction: \[ -\frac{4}{7} = -\frac{4 \times 4}{7 \times 4} = -\frac{16}{28} \] \[ \frac{3}{4} = \frac{3 \times 7}{4 \times 7} = \frac{21}{28} \] Now, add the two fractions: \[ -\frac{16}{28} + \frac{21}{28} = \frac{21 - 16}{28} = \frac{5}{28} \] So, the sum is \(\frac{5}{28}\), which is already in simplest form!
