Question
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Answer
Both fractions are equal: \( \frac{3}{11} = \frac{12}{44} \).
Solution
To determine which fraction is greater, we can compare \( \frac{3}{11} \) and \( \frac{12}{44} \).
First, we can simplify \( \frac{12}{44} \):
1. Find the greatest common divisor (GCD) of 12 and 44. The GCD is 4.
2. Divide both the numerator and the denominator by the GCD:
\[
\frac{12 \div 4}{44 \div 4} = \frac{3}{11}
\]
Now we see that:
\[
\frac{12}{44} = \frac{3}{11}
\]
Since both fractions are equal, we conclude that:
\[
\frac{3}{11} = \frac{12}{44}
\]
Thus, neither fraction is greater; they are equal.
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Simplify this solution The Deep Dive
While both fractions may look different at first glance, they actually represent the same value! You can simplify \( \frac{12}{44} \) by dividing both the numerator and the denominator by 4, which gives you \( \frac{3}{11} \). So, if you had to choose, it's safe to say they are equal! When comparing fractions, it's always a good idea to find a common denominator or simplify them whenever possible. Many people mistakenly think that fractions with larger numerators or denominators are always larger, but that's not the case! Always check to see if they can be simplified to understand their true value.
