Solve 100div(3+1+1/2)

$$100 \div (3+1+ \frac{ 1 }{ 2 } )$$

Evaluate

$$\frac{200}{9}\approx 22.222222222$$

Solution Steps

Add 3 and 1 to get 4.

$$\frac{100}{4+\frac{1}{2}}$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{100}{\frac{8}{2}+\frac{1}{2}}$$

Since \frac{8}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{100}{\frac{8+1}{2}}$$

Add 8 and 1 to get 9.

$$\frac{100}{\frac{9}{2}}$$

Divide 100 by \frac{9}{2} by multiplying 100 by the reciprocal of \frac{9}{2}.

$$100\times \frac{2}{9}$$

Express 100\times \frac{2}{9} as a single fraction.

$$\frac{100\times 2}{9}$$

Multiply 100 and 2 to get 200.

$$\frac{200}{9}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 ^ {2}} = 22\frac{2}{9} = 22.22222222222222$$