Question
Subtract \( \frac{10}{16}-\frac{2}{16} \). Simplify the answer. Question Help: \( \square \) Video \( \square \) Message instru Submit Question
Ask by Wagner Lowe. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{1}{2}\)
Solution
To subtract \(\frac{10}{16}\) and \(\frac{2}{16}\) and simplify the result, follow these steps:
1. **Subtract the Numerators:**
Since both fractions have the same denominator, you can subtract the numerators directly.
\[
\frac{10}{16} - \frac{2}{16} = \frac{10 - 2}{16} = \frac{8}{16}
\]
2. **Simplify the Fraction:**
To simplify \(\frac{8}{16}\), divide both the numerator and the denominator by their greatest common divisor (GCD), which is 8.
\[
\frac{8 \div 8}{16 \div 8} = \frac{1}{2}
\]
**Final Answer:** \(\frac{1}{2}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find \( \frac{10}{16} - \frac{2}{16} \), you keep the same denominator and subtract the numerators. This gives you \( \frac{10 - 2}{16} = \frac{8}{16} \). Now, simplifying \( \frac{8}{16} \) by dividing both the numerator and the denominator by 8 results in \( \frac{1}{2} \). So, the final answer is \( \frac{1}{2} \)! Remember, working with fractions becomes super easy when you operate with common denominators! It’s like having a pizza and you just make sure everyone is cutting their slices from the same size pie! The key here is to simplify whenever you can – you'll save yourself from a lot of unnecessary complexity.
