Solve 98/11-41/11

$$9 \frac { 8 } { 11 } - 4 \frac { 1 } { 11 }$$

Evaluate

$$\frac{62}{11}\approx 5.636363636$$

Solution Steps

Multiply 9 and 11 to get 99.

$$\frac{99+8}{11}-\frac{4\times 11+1}{11}$$

Add 99 and 8 to get 107.

$$\frac{107}{11}-\frac{4\times 11+1}{11}$$

Multiply 4 and 11 to get 44.

$$\frac{107}{11}-\frac{44+1}{11}$$

Add 44 and 1 to get 45.

$$\frac{107}{11}-\frac{45}{11}$$

Since \frac{107}{11} and \frac{45}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{107-45}{11}$$

Subtract 45 from 107 to get 62.

$$\frac{62}{11}$$

Factor

$$\frac{2 \cdot 31}{11} = 5\frac{7}{11} = 5.636363636363637$$