Solve 6*5/9*21/2=

$$6 \times \frac { 5 } { 9 } \times 2 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Express 6\times \frac{5}{9} as a single fraction.

$$\frac{6\times 5}{9}\times \frac{2\times 2+1}{2}$$

Multiply 6 and 5 to get 30.

$$\frac{30}{9}\times \frac{2\times 2+1}{2}$$

Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.

$$\frac{10}{3}\times \frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{10}{3}\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{10}{3}\times \frac{5}{2}$$

Multiply \frac{10}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 5}{3\times 2}$$

Do the multiplications in the fraction \frac{10\times 5}{3\times 2}.

$$\frac{50}{6}$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$