Solve 30+(10-9/2*10-9-13)*5

$$30+( \frac{ 10-9 }{ 2 \times 10-9-13 } ) \times 5$$

Evaluate

$$\frac{55}{2}=27.5$$

Solution Steps

Subtract 9 from 10 to get 1.

$$30+\frac{1}{2\times 10-9-13}\times 5$$

Multiply 2 and 10 to get 20.

$$30+\frac{1}{20-9-13}\times 5$$

Subtract 9 from 20 to get 11.

$$30+\frac{1}{11-13}\times 5$$

Subtract 13 from 11 to get -2.

$$30+\frac{1}{-2}\times 5$$

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$30-\frac{1}{2}\times 5$$

Express -\frac{1}{2}\times 5 as a single fraction.

$$30+\frac{-5}{2}$$

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$30-\frac{5}{2}$$

Convert 30 to fraction \frac{60}{2}.

$$\frac{60}{2}-\frac{5}{2}$$

Since \frac{60}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-5}{2}$$

Subtract 5 from 60 to get 55.

$$\frac{55}{2}$$

Factor

$$\frac{5 \cdot 11}{2} = 27\frac{1}{2} = 27.5$$