Solve 53mm/11-3cm

$$\frac { 53 mm } { 11 } - 3 cm$$

Evaluate

$$-3cm+\frac{53m^{2}}{11}$$

Short Solution Steps

Multiply m and m to get m^{2}.

$$\frac{53m^{2}}{11}-3cm$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -3cm times \frac{11}{11}.

$$\frac{53m^{2}}{11}+\frac{11\left(-3\right)cm}{11}$$

Since \frac{53m^{2}}{11} and \frac{11\left(-3\right)cm}{11} have the same denominator, add them by adding their numerators.

$$\frac{53m^{2}+11\left(-3\right)cm}{11}$$

Do the multiplications in 53m^{2}+11\left(-3\right)cm.

$$\frac{53m^{2}-33cm}{11}$$

Factor

$$\frac{m\left(53m-33c\right)}{11}$$

Solution Steps

Factor out \frac{1}{11}.

$$\frac{53mm-33cm}{11}$$

Consider 53m^{2}-33cm. Factor out m.

$$m\left(53m-33c\right)$$

Rewrite the complete factored expression.

$$\frac{m\left(53m-33c\right)}{11}$$