Rose Mills
02/27/2024 · Primary School
\begin{tabular}{l} Find the equivalent fraction with the indicated denominator. \\ \( \qquad \frac{5}{6}=\frac{?}{42} \) \\ \hline\end{tabular}
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the equivalent fraction of \(\frac{5}{6}\) with a denominator of 42, we can set up the equation:
\[
\frac{5}{6} = \frac{x}{42}
\]
To solve for \(x\), we can cross-multiply:
\[
5 \cdot 42 = 6 \cdot x
\]
Calculating \(5 \cdot 42\):
\[
5 \cdot 42 = 210
\]
Now we have:
\[
210 = 6x
\]
Next, we divide both sides by 6 to solve for \(x\):
\[
x = \frac{210}{6}
\]
Calculating \(\frac{210}{6}\):
\[
x = 35
\]
Thus, the equivalent fraction is:
\[
\frac{5}{6} = \frac{35}{42}
\]
So, the answer is:
\[
\frac{5}{6} = \frac{35}{42}
\]
Quick Answer
\(\frac{5}{6} = \frac{35}{42}\)
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