Solve 1-1479div267/1479div267

$$\frac{ 1-1479 \div 267 }{ 1479 \div 267 }$$

Evaluate

$$-\frac{404}{493}\approx -0.819472617$$

Solution Steps

Reduce the fraction \frac{1479}{267} to lowest terms by extracting and canceling out 3.

$$\frac{1-\frac{493}{89}}{\frac{1479}{267}}$$

Convert 1 to fraction \frac{89}{89}.

$$\frac{\frac{89}{89}-\frac{493}{89}}{\frac{1479}{267}}$$

Since \frac{89}{89} and \frac{493}{89} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{89-493}{89}}{\frac{1479}{267}}$$

Subtract 493 from 89 to get -404.

$$\frac{-\frac{404}{89}}{\frac{1479}{267}}$$

Reduce the fraction \frac{1479}{267} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{404}{89}}{\frac{493}{89}}$$

Divide -\frac{404}{89} by \frac{493}{89} by multiplying -\frac{404}{89} by the reciprocal of \frac{493}{89}.

$$-\frac{404}{89}\times \frac{89}{493}$$

Multiply -\frac{404}{89} times \frac{89}{493} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-404\times 89}{89\times 493}$$

Cancel out 89 in both numerator and denominator.

$$\frac{-404}{493}$$

Fraction \frac{-404}{493} can be rewritten as -\frac{404}{493} by extracting the negative sign.

$$-\frac{404}{493}$$

Factor

$$-\frac{404}{493} = -0.8194726166328601$$