What is 3-1/3-3/4+5/6 ?

The solution to 3-1/3-3/4+5/6 is 2 3/4

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3-1/3-3/4+5/6

3 - \frac{1}{3} - \frac{3}{4} + \frac{5}{6}

2 \frac{3}{4}

Solution steps

3 - \frac{1}{3} - \frac{3}{4} + \frac{5}{6}

Follow the PEMDAS order of operations

Add and subtract (left to right)

3 - \frac{1}{3} = \frac{8}{3}

= \frac{8}{3} - \frac{3}{4} + \frac{5}{6}

\frac{8}{3} - \frac{3}{4} = \frac{23}{12}

= \frac{23}{12} + \frac{5}{6}

\frac{23}{12} + \frac{5}{6} = \frac{11}{4}

= \frac{11}{4}

Convert improper fractions to mixed numbers:

\frac{11}{4} = 2 \frac{3}{4}

= 2 \frac{3}{4}

1 \div 8 + 1 \div 4

9 - 8 + 8 + 4

6 (7 \times 7)

\frac{1}{3 ^{2} - 1}

2 \times \frac{22}{7} \times 7 (7 + 15)