What is (4 2/3+1 1/6)-1 5/6 ?

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

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(4 2/3+1 1/6)-1 5/6

(4 \frac{2}{3} + 1 \frac{1}{6}) - 1 \frac{5}{6}

4

Solution steps

(4 \frac{2}{3} + 1 \frac{1}{6}) - 1 \frac{5}{6}

Convert mixed numbers to improper fractions:

1 \frac{5}{6} = \frac{11}{6}

= (4 \frac{2}{3} + 1 \frac{1}{6}) - \frac{11}{6}

Convert mixed numbers to improper fractions:

4 \frac{2}{3} = \frac{14}{3}

= (\frac{14}{3} + 1 \frac{1}{6}) - \frac{11}{6}

Convert mixed numbers to improper fractions:

1 \frac{1}{6} = \frac{7}{6}

= (\frac{14}{3} + \frac{7}{6}) - \frac{11}{6}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{14}{3} + \frac{7}{6}) : \frac{35}{6}

= \frac{35}{6} - \frac{11}{6}

Add and subtract (left to right)

\frac{35}{6} - \frac{11}{6} : 4

= 4

3 (1)^{2} + 3 (1) + 1

7^{2} - 10

3 (2^{2} - 3) + 15

(5 - 2) \cdot 180

- (\frac{14}{- 2})