What is -1/6-(1 1/4-2) ?

The solution to -1/6-(1 1/4-2) is 7/12

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-1/6-(1 1/4-2)

- \frac{1}{6} - (1 \frac{1}{4} - 2)

\frac{7}{12}

Solution steps

- \frac{1}{6} - (1 \frac{1}{4} - 2)

Convert mixed numbers to improper fractions:

1 \frac{1}{4} = \frac{5}{4}

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

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{5}{4} - 2) : - \frac{3}{4}

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

Add and subtract (left to right)

- \frac{1}{6} - (- \frac{3}{4}) : \frac{7}{12}

= \frac{7}{12}

- 15 - (- 11) + 5 \cdot (- 4)^{3}

15 + 21 \times 5 - 3 \times 4 + 9

[12 + (- 4) - 5] - 3

5^{2} - 5 (5) + 3

8^{2} - 3 (8)