Solve 41/75-3111/150

$$4 \frac { 1 } { 75 } - 3 \frac { 111 } { 150 }$$

Evaluate

$$\frac{41}{150}\approx 0.273333333$$

Solution Steps

Multiply 4 and 75 to get 300.

$$\frac{300+1}{75}-\frac{3\times 150+111}{150}$$

Add 300 and 1 to get 301.

$$\frac{301}{75}-\frac{3\times 150+111}{150}$$

Multiply 3 and 150 to get 450.

$$\frac{301}{75}-\frac{450+111}{150}$$

Add 450 and 111 to get 561.

$$\frac{301}{75}-\frac{561}{150}$$

Reduce the fraction \frac{561}{150} to lowest terms by extracting and canceling out 3.

$$\frac{301}{75}-\frac{187}{50}$$

Least common multiple of 75 and 50 is 150. Convert \frac{301}{75} and \frac{187}{50} to fractions with denominator 150.

$$\frac{602}{150}-\frac{561}{150}$$

Since \frac{602}{150} and \frac{561}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{602-561}{150}$$

Subtract 561 from 602 to get 41.

$$\frac{41}{150}$$

Factor

$$\frac{41}{2 \cdot 3 \cdot 5 ^ {2}} = 0.2733333333333333$$