Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The missing number is 48.
Solution
To solve the proportion \( \frac{6}{7} = \frac{x}{56} \), we need to find the value of \( x \) that makes the two fractions equal.
**Step 1: Set Up the Equation**
\[
\frac{6}{7} = \frac{x}{56}
\]
**Step 2: Cross-Multiply**
Multiply the numerator of one fraction by the denominator of the other fraction:
\[
6 \times 56 = 7 \times x
\]
\[
336 = 7x
\]
**Step 3: Solve for \( x \)**
Divide both sides of the equation by 7 to isolate \( x \):
\[
x = \frac{336}{7} = 48
\]
**Answer:**
\[
\frac{6}{7} = \frac{48}{56}
\]
So, the missing number is **48**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the missing numerator, you can use cross-multiplication. Multiply \(6\) by \(56\) to get \(336\) and then divide by \(7\). This gives you \(48\), so the equation now reads \( \frac{6}{7} = \frac{48}{56} \), proving that \( \frac{48}{56} \) is equivalent to \( \frac{6}{7} \). This kind of fraction manipulation is super useful in baking! If a recipe calls for a certain amount of an ingredient and you only want a fraction of the recipe, knowing how to adjust the quantities using equivalent fractions ensures your dish turns out perfectly. Always remember to simplify or adjust fractions as needed!
