What is 8 7/8-3\times 6 1/6 ?

The solution to 8 7/8-3\times 6 1/6 is -77/8

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8 7/8-3\times 6 1/6

8 \frac{7}{8} - 3 \cdot 6 \frac{1}{6}

- \frac{77}{8}

Solution steps

8 \frac{7}{8} - 3 \cdot 6 \frac{1}{6}

Convert mixed numbers to improper fractions:

8 \frac{7}{8} = \frac{71}{8}

= \frac{71}{8} - 3 \cdot 6 \frac{1}{6}

Convert mixed numbers to improper fractions:

6 \frac{1}{6} = \frac{37}{6}

= \frac{71}{8} - 3 \cdot \frac{37}{6}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \cdot \frac{37}{6} : \frac{37}{2}

= \frac{71}{8} - \frac{37}{2}

Add and subtract (left to right)

\frac{71}{8} - \frac{37}{2} : - \frac{77}{8}

= - \frac{77}{8}

- \frac{1}{3} (- 3)^{3}

1 + 2 (2)^{2}

\frac{36 \div 3 \times ( 8 - 6 )}{6}

- (1) + (4 - 4)

8^{3} + 8^{3} + 8^{3} + 8^{3}