Question
4)) Which fraction is equivalent to \( \frac{3}{12} \) ? \begin{tabular}{lll|}\hline\( \frac{2}{5} \) & \( \frac{1}{4} \) & \( \frac{1}{6} \) \\ \hline\end{tabular}
Ask by Tyler Sherman. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \frac{1}{4} \) is equivalent to \( \frac{3}{12} \).
Solution
To determine which fraction is equivalent to \( \frac{3}{12} \), let's simplify \( \frac{3}{12} \):
\[
\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}
\]
Now, let's compare this with the given options:
\[
\begin{tabular}{lll}
\hline
\( \frac{2}{5} \) & \( \frac{1}{4} \) & \( \frac{1}{6} \) \\
\hline
\end{tabular}
\]
The simplified form \( \frac{1}{4} \) matches the second option.
\(\boxed{\dfrac{1}{4}}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find a fraction equivalent to \( \frac{3}{12} \), you can simplify it. Divide both the numerator and the denominator by their greatest common divisor, which is 3. This gives \( \frac{3 \div 3}{12 \div 3} = \frac{1}{4} \). So, the equivalent fraction is \( \frac{1}{4} \)! In real life, understanding equivalent fractions has practical applications, especially in cooking and baking! If you need to adjust a recipe that calls for \( \frac{3}{12} \) cups of an ingredient, simplifying it to \( \frac{1}{4} \) makes it easier to measure. Plus, knowing that \( \frac{1}{4} \) is a common fraction can help you when you're working with different quantities!
