Solve 3/7*7/9-27=

$$\frac { 3 } { 7 } \times \frac { 7 } { 9 } - 27 =$$

Evaluate

$$-\frac{80}{3}\approx -26.666666667$$

Solution Steps

Multiply \frac{3}{7} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 7}{7\times 9}-27$$

Cancel out 7 in both numerator and denominator.

$$\frac{3}{9}-27$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}-27$$

Convert 27 to fraction \frac{81}{3}.

$$\frac{1}{3}-\frac{81}{3}$$

Since \frac{1}{3} and \frac{81}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-81}{3}$$

Subtract 81 from 1 to get -80.

$$-\frac{80}{3}$$

Factor

$$-\frac{80}{3} = -26\frac{2}{3} = -26.666666666666668$$