Solve (155/72)36/78-frac{1{2}}

$$\frac { ( \frac { 155 } { 72 } ) 36 } { 78 - \frac { 1 } { 2 } }$$

Evaluate

$$1$$

Solution Steps

Express \frac{155}{72}\times 36 as a single fraction.

$$\frac{\frac{155\times 36}{72}}{78-\frac{1}{2}}$$

Multiply 155 and 36 to get 5580.

$$\frac{\frac{5580}{72}}{78-\frac{1}{2}}$$

Reduce the fraction \frac{5580}{72} to lowest terms by extracting and canceling out 36.

$$\frac{\frac{155}{2}}{78-\frac{1}{2}}$$

Convert 78 to fraction \frac{156}{2}.

$$\frac{\frac{155}{2}}{\frac{156}{2}-\frac{1}{2}}$$

Since \frac{156}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{155}{2}}{\frac{156-1}{2}}$$

Subtract 1 from 156 to get 155.

$$\frac{\frac{155}{2}}{\frac{155}{2}}$$

Divide \frac{155}{2} by \frac{155}{2} to get 1.

$$1$$

Factor

$$1$$