Solve 9+8/12:6/5-1

$$\frac { 9 + 8 } { 12 } : \frac { 6 } { 5 } - 1$$

Evaluate

$$\frac{13}{72}\approx 0.180555556$$

Solution Steps

Divide \frac{9+8}{12} by \frac{6}{5} by multiplying \frac{9+8}{12} by the reciprocal of \frac{6}{5}.

$$\frac{\left(9+8\right)\times 5}{12\times 6}-1$$

Add 9 and 8 to get 17.

$$\frac{17\times 5}{12\times 6}-1$$

Multiply 17 and 5 to get 85.

$$\frac{85}{12\times 6}-1$$

Multiply 12 and 6 to get 72.

$$\frac{85}{72}-1$$

Convert 1 to fraction \frac{72}{72}.

$$\frac{85}{72}-\frac{72}{72}$$

Since \frac{85}{72} and \frac{72}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-72}{72}$$

Subtract 72 from 85 to get 13.

$$\frac{13}{72}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3 ^ {2}} = 0.18055555555555555$$