Solve 56-74/frac{53{2}}

$$56 - \frac { 74 } { \frac { 53 } { 2 } }$$

Evaluate

$$\frac{2820}{53}\approx 53.20754717$$

Solution Steps

Divide 74 by \frac{53}{2} by multiplying 74 by the reciprocal of \frac{53}{2}.

$$56-74\times \frac{2}{53}$$

Express 74\times \frac{2}{53} as a single fraction.

$$56-\frac{74\times 2}{53}$$

Multiply 74 and 2 to get 148.

$$56-\frac{148}{53}$$

Convert 56 to fraction \frac{2968}{53}.

$$\frac{2968}{53}-\frac{148}{53}$$

Since \frac{2968}{53} and \frac{148}{53} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2968-148}{53}$$

Subtract 148 from 2968 to get 2820.

$$\frac{2820}{53}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 \cdot 47}{53} = 53\frac{11}{53} = 53.20754716981132$$