Solve 100div(6+1+1/2)

$$100 \div (6+1+ \frac{ 1 }{ 2 } )$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Solution Steps

Add 6 and 1 to get 7.

$$\frac{100}{7+\frac{1}{2}}$$

Convert 7 to fraction \frac{14}{2}.

$$\frac{100}{\frac{14}{2}+\frac{1}{2}}$$

Since \frac{14}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{100}{\frac{14+1}{2}}$$

Add 14 and 1 to get 15.

$$\frac{100}{\frac{15}{2}}$$

Divide 100 by \frac{15}{2} by multiplying 100 by the reciprocal of \frac{15}{2}.

$$100\times \frac{2}{15}$$

Express 100\times \frac{2}{15} as a single fraction.

$$\frac{100\times 2}{15}$$

Multiply 100 and 2 to get 200.

$$\frac{200}{15}$$

Reduce the fraction \frac{200}{15} to lowest terms by extracting and canceling out 5.

$$\frac{40}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$