Solve 1083-63/4-9/54

$$\frac { 1083 - \frac { 63 } { 4 } - 9 } { 54 }$$

Evaluate

$$\frac{1411}{72}\approx 19.597222222$$

Solution Steps

Convert 1083 to fraction \frac{4332}{4}.

$$\frac{\frac{4332}{4}-\frac{63}{4}-9}{54}$$

Since \frac{4332}{4} and \frac{63}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4332-63}{4}-9}{54}$$

Subtract 63 from 4332 to get 4269.

$$\frac{\frac{4269}{4}-9}{54}$$

Convert 9 to fraction \frac{36}{4}.

$$\frac{\frac{4269}{4}-\frac{36}{4}}{54}$$

Since \frac{4269}{4} and \frac{36}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4269-36}{4}}{54}$$

Subtract 36 from 4269 to get 4233.

$$\frac{\frac{4233}{4}}{54}$$

Express \frac{\frac{4233}{4}}{54} as a single fraction.

$$\frac{4233}{4\times 54}$$

Multiply 4 and 54 to get 216.

$$\frac{4233}{216}$$

Reduce the fraction \frac{4233}{216} to lowest terms by extracting and canceling out 3.

$$\frac{1411}{72}$$

Factor

$$\frac{17 \cdot 83}{2 ^ {3} \cdot 3 ^ {2}} = 19\frac{43}{72} = 19.59722222222222$$