Questions: 6 1/6 - 3 5/6 =

6 1/6 - 3 5/6 =
Transcript text: 6 \(\frac{1}{6}\)-3 \(\frac{5}{6}\)=
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Solution

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Solution Steps

Step 1: Convert mixed numbers to improper fractions

Convert \( 6 \frac{1}{6} \) and \( 3 \frac{5}{6} \) to improper fractions: \[ 6 \frac{1}{6} = \frac{6 \times 6 + 1}{6} = \frac{37}{6} \] \[ 3 \frac{5}{6} = \frac{3 \times 6 + 5}{6} = \frac{23}{6} \]

Step 2: Subtract the improper fractions

Subtract the two fractions: \[ \frac{37}{6} - \frac{23}{6} = \frac{37 - 23}{6} = \frac{14}{6} \]

Step 3: Simplify the result

Simplify \( \frac{14}{6} \) by dividing the numerator and denominator by 2: \[ \frac{14}{6} = \frac{7}{3} \]

Final Answer

\(\boxed{\frac{7}{3}}\)

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