Question
Rewrite the fraction as indicated. \( \frac{1}{10}=\frac{\square}{70} \)
Ask by Rojas Whittaker. in the United States
Jan 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\frac{1}{10} = \frac{7}{70}
\]
Solution
To rewrite the fraction \( \frac{1}{10} \) so that it has a denominator of 70, you can set up the equation:
\[
\frac{1}{10} = \frac{\square}{70}
\]
To find the value that fills the square, follow these steps:
1. **Set Up the Proportion:**
\[
\frac{1}{10} = \frac{x}{70}
\]
2. **Cross-Multiply to Solve for \( x \):**
\[
1 \times 70 = 10 \times x
\]
\[
70 = 10x
\]
3. **Divide Both Sides by 10:**
\[
x = \frac{70}{10}
\]
\[
x = 7
\]
4. **Write the Equivalent Fraction:**
\[
\frac{1}{10} = \frac{7}{70}
\]
So, the completed fraction is:
\[
\frac{1}{10} = \frac{7}{70}
\]
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Simplify this solution Extra Insights
To rewrite the fraction \( \frac{1}{10} \) as \( \frac{\square}{70} \), we need to find the equivalent numerator that corresponds to the denominator of 70. We can set up a proportion: \[ \frac{1}{10} = \frac{x}{70} \] Cross-multiplying gives us: \[ 1 \times 70 = 10 \times x \] This simplifies to: \[ 70 = 10x \] Now, divide both sides by 10: \[ x = \frac{70}{10} = 7 \] So, \( \frac{1}{10} = \frac{7}{70} \). Therefore, the answer is \( \frac{1}{10} = \frac{7}{70} \).
