What is 1/2 (5+13)-4*5 ?

The solution to 1/2 (5+13)-4*5 is -11

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1/2 (5+13)-4*5

\frac{1}{2} (5 + 13) - 4 \cdot 5

- 11

Solution steps

\frac{1}{2} (5 + 13) - 4 \cdot 5

Follow the PEMDAS order of operations

Calculate within parentheses

(5 + 13) : 18

5 + 13

5 + 13 = 18

= 18

= \frac{1}{2} \cdot 18 - 4 \cdot 5

Multiply and divide (left to right)

\frac{1}{2} \cdot 18 : 9

\frac{1}{2} \cdot 18

Convert element to fraction:

18 = \frac{18}{1}

= \frac{1}{2} \cdot \frac{18}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 18}{2 \cdot 1}

\frac{1 \cdot 18}{2 \cdot 1} = 9

\frac{1 \cdot 18}{2 \cdot 1}

\frac{1 \cdot 18}{2 \cdot 1} = \frac{18}{2}

\frac{1 \cdot 18}{2 \cdot 1}

Multiply the numbers:

1 \cdot 18 = 18

= \frac{18}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{18}{2}

= \frac{18}{2}

Divide the numbers:

\frac{18}{2} = 9

= 9

= 9

= 9 - 4 \cdot 5

Multiply and divide (left to right)

4 \cdot 5 : 20

4 \cdot 5

4 \cdot 5 = 20

= 20

= 9 - 20

Add and subtract (left to right)

9 - 20 : - 11

9 - 20

9 - 20 = - 11

= - 11

= - 11

2^{3} + 4^{2}

(9 + 1)^{2}

100 1^{2} - 99 9^{2}

4 - 8 \div 2

- (1)^{2} + 3