Solve 1-2/2+frac{9{4}}

$$1 - \frac { 2 } { 2 + \frac { 9 } { 4 } }$$

Evaluate

$$\frac{9}{17}\approx 0.529411765$$

Solution Steps

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

$$1-\frac{2}{\frac{8}{4}+\frac{9}{4}}$$

Since \frac{8}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$1-\frac{2}{\frac{8+9}{4}}$$

Add 8 and 9 to get 17.

$$1-\frac{2}{\frac{17}{4}}$$

Divide 2 by \frac{17}{4} by multiplying 2 by the reciprocal of \frac{17}{4}.

$$1-2\times \frac{4}{17}$$

Express 2\times \frac{4}{17} as a single fraction.

$$1-\frac{2\times 4}{17}$$

Multiply 2 and 4 to get 8.

$$1-\frac{8}{17}$$

Convert 1 to fraction \frac{17}{17}.

$$\frac{17}{17}-\frac{8}{17}$$

Since \frac{17}{17} and \frac{8}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-8}{17}$$

Subtract 8 from 17 to get 9.

$$\frac{9}{17}$$

Factor

$$\frac{3 ^ {2}}{17} = 0.5294117647058824$$