What is 1/2+1\div 3-4/5 ?

The solution to 1/2+1\div 3-4/5 is 1/30

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1/2+1\div 3-4/5

\frac{1}{2} + 1 \div 3 - \frac{4}{5}

\frac{1}{30}

Solution steps

\frac{1}{2} + 1 \div 3 - \frac{4}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

1 \div 3 : \frac{1}{3}

= \frac{1}{2} + \frac{1}{3} - \frac{4}{5}

Add and subtract (left to right)

\frac{1}{2} + \frac{1}{3} - \frac{4}{5} : \frac{1}{30}

= \frac{1}{30}

2 + 1 \cdot 4 + \frac{5}{2}

2 - {- 4 + (- 5) - [- 5 + (- 3) - 2] + 4} - 4

- 2 + (- 3 - (7 + 4 (- 2 + 5))) - 4

- 4^{2} + 4 (- 4)

4 (- 1)^{2} - (- 1) - 3