Solve 318/43-1940/43

$$31 \frac{ 8 }{ 43 } -19 \frac{ 40 }{ 43 }$$

Evaluate

$$\frac{484}{43}\approx 11.255813953$$

Solution Steps

Multiply 31 and 43 to get 1333.

$$\frac{1333+8}{43}-\frac{19\times 43+40}{43}$$

Add 1333 and 8 to get 1341.

$$\frac{1341}{43}-\frac{19\times 43+40}{43}$$

Multiply 19 and 43 to get 817.

$$\frac{1341}{43}-\frac{817+40}{43}$$

Add 817 and 40 to get 857.

$$\frac{1341}{43}-\frac{857}{43}$$

Since \frac{1341}{43} and \frac{857}{43} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1341-857}{43}$$

Subtract 857 from 1341 to get 484.

$$\frac{484}{43}$$

Factor

$$\frac{2 ^ {2} \cdot 11 ^ {2}}{43} = 11\frac{11}{43} = 11.255813953488373$$