Solve 4211/5-2133/11

$$421 \frac { 1 } { 5 } - 213 \frac { 3 } { 11 }$$

Evaluate

$$\frac{11436}{55}\approx 207.927272727$$

Solution Steps

Multiply 421 and 5 to get 2105.

$$\frac{2105+1}{5}-\frac{213\times 11+3}{11}$$

Add 2105 and 1 to get 2106.

$$\frac{2106}{5}-\frac{213\times 11+3}{11}$$

Multiply 213 and 11 to get 2343.

$$\frac{2106}{5}-\frac{2343+3}{11}$$

Add 2343 and 3 to get 2346.

$$\frac{2106}{5}-\frac{2346}{11}$$

Least common multiple of 5 and 11 is 55. Convert \frac{2106}{5} and \frac{2346}{11} to fractions with denominator 55.

$$\frac{23166}{55}-\frac{11730}{55}$$

Since \frac{23166}{55} and \frac{11730}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23166-11730}{55}$$

Subtract 11730 from 23166 to get 11436.

$$\frac{11436}{55}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 953}{5 \cdot 11} = 207\frac{51}{55} = 207.92727272727274$$