Question
a model shows 5/6 - 1/3 in fraction form, find the difference.
Answers
GPT-4o mini
To find the difference between the fractions \( \frac{5}{6} \) and \( \frac{1}{3} \), we first need a common denominator. The least common multiple of the denominators 6 and 3 is 6.
Next, we convert \( \frac{1}{3} \) to have a denominator of 6:
\[
\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
\]
Now we can subtract the fractions:
\[
\frac{5}{6} - \frac{2}{6} = \frac{5 - 2}{6} = \frac{3}{6}
\]
To simplify \( \frac{3}{6} \):
\[
\frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2}
\]
Thus, the difference \( \frac{5}{6} - \frac{1}{3} \) is \( \frac{1}{2} \).
Next, we convert \( \frac{1}{3} \) to have a denominator of 6:
\[
\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
\]
Now we can subtract the fractions:
\[
\frac{5}{6} - \frac{2}{6} = \frac{5 - 2}{6} = \frac{3}{6}
\]
To simplify \( \frac{3}{6} \):
\[
\frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2}
\]
Thus, the difference \( \frac{5}{6} - \frac{1}{3} \) is \( \frac{1}{2} \).