Question
Find the sum by hand. Then, use a calculator to check your work. \( \frac{16}{13}+\left(-\frac{11}{13}\right) \) \( \frac{16}{13}+\left(-\frac{11}{13}\right)=\square \) (Type an integer or a simplified fraction.)
Ask by Harris Mann. in the United States
Jan 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{5}{13} \)
Solution
Calculate or simplify the expression \( \frac{16}{13}+\left(-\frac{11}{13}\right) \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{16}{13}+\left(-\frac{11}{13}\right)\)
- step1: Remove the parentheses:
\(\frac{16}{13}-\frac{11}{13}\)
- step2: Transform the expression:
\(\frac{16-11}{13}\)
- step3: Subtract the numbers:
\(\frac{5}{13}\)
The sum of \( \frac{16}{13} \) and \( -\frac{11}{13} \) is \( \frac{5}{13} \) or approximately 0.384615.
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Simplify this solution Mind Expander
First, let's find the sum by hand. When you add the fractions \( \frac{16}{13} + \left(-\frac{11}{13}\right) \), you can combine the numerators over the common denominator: \[ \frac{16 - 11}{13} = \frac{5}{13} \] So, \( \frac{16}{13} + \left(-\frac{11}{13}\right) = \frac{5}{13} \). Now, let’s check this with a calculator: When you input \( 16/13 + (-11/13) \), it also confirms that the result is \( \frac{5}{13} \). Therefore, \( \frac{16}{13}+\left(-\frac{11}{13}\right)=\frac{5}{13} \).
