To determine the difference between \( \frac{5}{6} \) and \( \frac{1}{4} \), you first need a common denominator. The least common multiple (LCM) of the denominators 6 and 4 is 12.
Next, convert each fraction to have a denominator of 12:
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Convert \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \]
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Convert \( \frac{1}{4} \): \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]
Now, you can find the difference:
\[ \frac{10}{12} - \frac{3}{12} = \frac{10 - 3}{12} = \frac{7}{12} \]
Thus, the difference of \( \frac{5}{6} \) and \( \frac{1}{4} \) is \( \frac{7}{12} \).
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