Question
4)) \( \sqrt{\frac{x}{x}} \), Subtract. \( \frac{7}{10}-\frac{3}{5}=\square \)
Ask by Wood Maxwell. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \sqrt{\frac{x}{x}} = 1 \) and \( \frac{7}{10} - \frac{3}{5} = \frac{1}{10} \).
Solution
Sure, let's tackle each part of the problem step by step.
### 1. Simplifying \( \sqrt{\frac{x}{x}} \)
First, simplify the expression inside the square root:
\[
\frac{x}{x} = 1 \quad \text{(assuming } x \neq 0\text{)}
\]
Now, take the square root of 1:
\[
\sqrt{1} = 1
\]
**So,**
\[
\sqrt{\frac{x}{x}} = 1
\]
### 2. Subtracting \(\frac{7}{10} - \frac{3}{5}\)
First, ensure both fractions have the same denominator. The second fraction, \(\frac{3}{5}\), can be converted to tenths:
\[
\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}
\]
Now, perform the subtraction:
\[
\frac{7}{10} - \frac{6}{10} = \frac{1}{10}
\]
**So,**
\[
\frac{7}{10} - \frac{3}{5} = \frac{1}{10}
\]
### **Final Answers:**
1. \( \sqrt{\frac{x}{x}} = 1 \)
2. \( \frac{7}{10} - \frac{3}{5} = \frac{1}{10} \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
The expression \( \sqrt{\frac{x}{x}} \) simplifies to \( \sqrt{1} \), which equals 1 as long as \( x \neq 0 \). So, no drama there—just a simple answer! Now, let’s dive into the subtraction! To subtract \( \frac{3}{5} \) from \( \frac{7}{10} \), we first convert \( \frac{3}{5} \) to a fraction with a denominator of 10: \( \frac{3}{5} = \frac{6}{10} \). Therefore, \( \frac{7}{10} - \frac{6}{10} = \frac{1}{10} \). Voilà! Your answer is \( \frac{1}{10} \).
