Question
\( \frac{3}{10}=\frac{\square}{50} \) (Simplify your answer.) Enter the correct numerator to match the new denominator.
Ask by Ayala Marshall. in the United States
Jan 30,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The numerator is 15.
Solution
To solve the proportion:
\[
\frac{3}{10} = \frac{\square}{50}
\]
We need to find the value of the numerator (let's call it \( x \)) that makes the equation true.
**Step 1:** Set up the equation:
\[
\frac{3}{10} = \frac{x}{50}
\]
**Step 2:** Cross-multiply to solve for \( x \):
\[
3 \times 50 = 10 \times x
\]
\[
150 = 10x
\]
**Step 3:** Divide both sides by 10 to isolate \( x \):
\[
x = \frac{150}{10} = 15
\]
**Answer:** \( 15 \)
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Simplify this solution The Deep Dive
To find the correct numerator that matches the new denominator of 50 in the fraction \( \frac{3}{10} \), you can cross-multiply or set up a proportion. Here’s how it works: 1. Set up the proportion: \( 3 \times 50 = 10 \times \square \). 2. Calculate \( 3 \times 50 = 150 \). 3. Now, divide by the original denominator: \( \square = \frac{150}{10} = 15 \). So, the answer is \( \frac{3}{10} = \frac{15}{50} \). Now you have the numerator as 15!
