What is 20/3 \div 2-(2+1/4*2) ?

The solution to 20/3 \div 2-(2+1/4*2) is 5/6

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20/3 \div 2-(2+1/4*2)

\frac{20}{3} \div 2 - (2 + \frac{1}{4} \cdot 2)

\frac{5}{6}

Solution steps

\frac{20}{3} \div 2 - (2 + \frac{1}{4} \cdot 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(2 + \frac{1}{4} \cdot 2) : \frac{5}{2}

= \frac{20}{3} \div 2 - \frac{5}{2}

Multiply and divide (left to right)

\frac{20}{3} \div 2 : \frac{10}{3}

= \frac{10}{3} - \frac{5}{2}

Add and subtract (left to right)

\frac{10}{3} - \frac{5}{2} : \frac{5}{6}

= \frac{5}{6}

+ (- 4 - 7) + (- 3 - 4 - 5 - 8)

(- 36 \div (- 9)) + 3 (- 9 + 3 (14 - 19))

4 (0) + 3

2 \cdot (15 - 2) - [11 - (7 - 3)]

(- 36) \div (- 3) \times 5 - (90 \div 3 + 30)