Question

2 what is $6\frac{5}{6}-4\frac{1}{3}$? show your work.

Explanation:

Step1: Convert to common denominator

First, we need to make the denominators of the fractions the same. The denominator of the first fraction is 6 and the second is 3. The least common denominator is 6. So we convert \(4\frac{1}{3}\) to sixths: \(4\frac{1}{3}=4\frac{1\times2}{3\times2}=4\frac{2}{6}\)

Step2: Subtract the mixed numbers

Now we subtract the whole numbers and the fractions separately. The whole numbers: \(6 - 4 = 2\). The fractions: \(\frac{5}{6}-\frac{2}{6}=\frac{3}{6}\)

Step3: Simplify the result

Simplify \(\frac{3}{6}\) to \(\frac{1}{2}\). Then add the whole number part back: \(2+\frac{1}{2}=2\frac{1}{2}\)

Answer:

\(2\frac{1}{2}\)