What is 1-1/3 (1-1/2 (1 1/6)) ?

The solution to 1-1/3 (1-1/2 (1 1/6)) is 31/36

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1-1/3 (1-1/2 (1 1/6))

1 - \frac{1}{3} (1 - \frac{1}{2} (1 \frac{1}{6}))

\frac{31}{36}

Solution steps

1 - \frac{1}{3} (1 - \frac{1}{2} (1 \frac{1}{6}))

Convert mixed numbers to improper fractions:

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

= 1 - \frac{1}{3} (1 - \frac{1}{2} (\frac{7}{6}))

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{1}{2} (\frac{7}{6})) : \frac{5}{12}

= 1 - \frac{1}{3} \cdot \frac{5}{12}

Multiply and divide (left to right)

\frac{1}{3} \cdot \frac{5}{12} : \frac{5}{36}

= 1 - \frac{5}{36}

Add and subtract (left to right)

1 - \frac{5}{36} : \frac{31}{36}

= \frac{31}{36}

4 (16) + 3

170 + (2 + 3) \times (12 - 2) - 49 \div 7

(3^{2} \div 9) + 9

- 3^{3} - 3^{2}

245 \times (7/10)