Solve -20/7div-28/9

$$\frac { - 20 } { 7 } \div \frac { - 28 } { 9 }$$

Evaluate

$$\frac{45}{49}\approx 0.918367347$$

Solution Steps

Divide \frac{-20}{7} by \frac{-28}{9} by multiplying \frac{-20}{7} by the reciprocal of \frac{-28}{9}.

$$\frac{-20\times 9}{7\left(-28\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{-5\times 9}{-7\times 7}$$

Multiply -5 and 9 to get -45.

$$\frac{-45}{-7\times 7}$$

Multiply -7 and 7 to get -49.

$$\frac{-45}{-49}$$

Fraction \frac{-45}{-49} can be simplified to \frac{45}{49} by removing the negative sign from both the numerator and the denominator.

$$\frac{45}{49}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{7 ^ {2}} = 0.9183673469387755$$