Solve 33/514/211/9

$$3 \frac{ 3 }{ 5 } 1 \frac{ 4 }{ 21 } \frac{ 1 }{ 9 }$$

Evaluate

$$\frac{10}{21}\approx 0.476190476$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+3}{5}\times \frac{1\times 21+4}{21}\times \frac{1}{9}$$

Add 15 and 3 to get 18.

$$\frac{18}{5}\times \frac{1\times 21+4}{21}\times \frac{1}{9}$$

Multiply 1 and 21 to get 21.

$$\frac{18}{5}\times \frac{21+4}{21}\times \frac{1}{9}$$

Add 21 and 4 to get 25.

$$\frac{18}{5}\times \frac{25}{21}\times \frac{1}{9}$$

Multiply \frac{18}{5} times \frac{25}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 25}{5\times 21}\times \frac{1}{9}$$

Do the multiplications in the fraction \frac{18\times 25}{5\times 21}.

$$\frac{450}{105}\times \frac{1}{9}$$

Reduce the fraction \frac{450}{105} to lowest terms by extracting and canceling out 15.

$$\frac{30}{7}\times \frac{1}{9}$$

Multiply \frac{30}{7} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{30\times 1}{7\times 9}$$

Do the multiplications in the fraction \frac{30\times 1}{7\times 9}.

$$\frac{30}{63}$$

Reduce the fraction \frac{30}{63} to lowest terms by extracting and canceling out 3.

$$\frac{10}{21}$$

Factor

$$\frac{2 \cdot 5}{3 \cdot 7} = 0.47619047619047616$$