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}

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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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