Solve 31/110-(223/110+31/110)

$$3 \frac { 1 } { 110 } - ( 2 \frac { 23 } { 110 } + \frac { 31 } { 110 } )$$

Evaluate

$$\frac{57}{110}\approx 0.518181818$$

Solution Steps

Multiply 3 and 110 to get 330.

$$\frac{330+1}{110}-\left(\frac{2\times 110+23}{110}+\frac{31}{110}\right)$$

Add 330 and 1 to get 331.

$$\frac{331}{110}-\left(\frac{2\times 110+23}{110}+\frac{31}{110}\right)$$

Multiply 2 and 110 to get 220.

$$\frac{331}{110}-\left(\frac{220+23}{110}+\frac{31}{110}\right)$$

Add 220 and 23 to get 243.

$$\frac{331}{110}-\left(\frac{243}{110}+\frac{31}{110}\right)$$

Since \frac{243}{110} and \frac{31}{110} have the same denominator, add them by adding their numerators.

$$\frac{331}{110}-\frac{243+31}{110}$$

Add 243 and 31 to get 274.

$$\frac{331}{110}-\frac{274}{110}$$

Since \frac{331}{110} and \frac{274}{110} have the same denominator, subtract them by subtracting their numerators.

$$\frac{331-274}{110}$$

Subtract 274 from 331 to get 57.

$$\frac{57}{110}$$

Factor

$$\frac{3 \cdot 19}{2 \cdot 5 \cdot 11} = 0.5181818181818182$$