Solve 3/2-2/121-5/11

$$\frac{ 3 }{ 2 } - \frac{ 2 }{ 121 } - \frac{ 5 }{ 11 }$$

Evaluate

$$\frac{249}{242}\approx 1.02892562$$

Solution Steps

Least common multiple of 2 and 121 is 242. Convert \frac{3}{2} and \frac{2}{121} to fractions with denominator 242.

$$\frac{363}{242}-\frac{4}{242}-\frac{5}{11}$$

Since \frac{363}{242} and \frac{4}{242} have the same denominator, subtract them by subtracting their numerators.

$$\frac{363-4}{242}-\frac{5}{11}$$

Subtract 4 from 363 to get 359.

$$\frac{359}{242}-\frac{5}{11}$$

Least common multiple of 242 and 11 is 242. Convert \frac{359}{242} and \frac{5}{11} to fractions with denominator 242.

$$\frac{359}{242}-\frac{110}{242}$$

Since \frac{359}{242} and \frac{110}{242} have the same denominator, subtract them by subtracting their numerators.

$$\frac{359-110}{242}$$

Subtract 110 from 359 to get 249.

$$\frac{249}{242}$$

Factor

$$\frac{3 \cdot 83}{2 \cdot 11 ^ {2}} = 1\frac{7}{242} = 1.0289256198347108$$