Solve (41-819/19)div40

$$(41- \frac{ 819 }{ 19 } ) \div 40$$

Evaluate

$$-\frac{1}{19}\approx -0.052631579$$

Solution Steps

Convert 41 to fraction \frac{779}{19}.

$$\frac{\frac{779}{19}-\frac{819}{19}}{40}$$

Since \frac{779}{19} and \frac{819}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{779-819}{19}}{40}$$

Subtract 819 from 779 to get -40.

$$\frac{-\frac{40}{19}}{40}$$

Express \frac{-\frac{40}{19}}{40} as a single fraction.

$$\frac{-40}{19\times 40}$$

Multiply 19 and 40 to get 760.

$$\frac{-40}{760}$$

Reduce the fraction \frac{-40}{760} to lowest terms by extracting and canceling out 40.

$$-\frac{1}{19}$$

Factor

$$-\frac{1}{19} = -0.05263157894736842$$