Question
\begin{tabular}{|c|c}\hline \( 4 / \) & Fractions \\ \hline Is this fraction greater \\ than, less than, or equal \\ to \( 1 / 2 \) ? \\ \( \frac{6}{12} \)\end{tabular}
Ask by Salazar French. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The fraction \(\frac{6}{12}\) is equal to \(\frac{1}{2}\).
Solution
1. Write the given fraction:
\[
\frac{6}{12}
\]
2. Simplify the fraction by finding the greatest common divisor (GCD) of 6 and 12, which is 6:
\[
\frac{6 \div 6}{12 \div 6} = \frac{1}{2}
\]
3. Compare the simplified fraction to \(\frac{1}{2}\):
\[
\frac{1}{2} = \frac{1}{2}
\]
4. Therefore, the fraction \(\frac{6}{12}\) is equal to \(\frac{1}{2}\).
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Simplify this solution Mind Expander
Did you know that fractions can be compared by finding a common denominator? In this case, both \( \frac{6}{12} \) and \( \frac{1}{2} \) can be compared by converting \( \frac{1}{2} \) into a fraction with a denominator of 12. When we rewrite \( \frac{1}{2} \) as \( \frac{6}{12} \), we see that they are equal! Another fun fact about fractions is that simplifying them can make comparisons easier. For instance, \( \frac{6}{12} \) simplifies to \( \frac{1}{2} \). So instead of worrying about how they compare, remember that understanding the simplest form of a fraction can help clarify relationships between numbers!
