Solve 33/7*15/9*21/8

$$3 \frac { 3 } { 7 } \times 1 \frac { 5 } { 9 } \times 2 \frac { 1 } { 8 }$$

Evaluate

$$\frac{34}{3}\approx 11.333333333$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+3}{7}\times \frac{1\times 9+5}{9}\times \frac{2\times 8+1}{8}$$

Add 21 and 3 to get 24.

$$\frac{24}{7}\times \frac{1\times 9+5}{9}\times \frac{2\times 8+1}{8}$$

Multiply 1 and 9 to get 9.

$$\frac{24}{7}\times \frac{9+5}{9}\times \frac{2\times 8+1}{8}$$

Add 9 and 5 to get 14.

$$\frac{24}{7}\times \frac{14}{9}\times \frac{2\times 8+1}{8}$$

Multiply \frac{24}{7} times \frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 14}{7\times 9}\times \frac{2\times 8+1}{8}$$

Do the multiplications in the fraction \frac{24\times 14}{7\times 9}.

$$\frac{336}{63}\times \frac{2\times 8+1}{8}$$

Reduce the fraction \frac{336}{63} to lowest terms by extracting and canceling out 21.

$$\frac{16}{3}\times \frac{2\times 8+1}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{16}{3}\times \frac{16+1}{8}$$

Add 16 and 1 to get 17.

$$\frac{16}{3}\times \frac{17}{8}$$

Multiply \frac{16}{3} times \frac{17}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 17}{3\times 8}$$

Do the multiplications in the fraction \frac{16\times 17}{3\times 8}.

$$\frac{272}{24}$$

Reduce the fraction \frac{272}{24} to lowest terms by extracting and canceling out 8.

$$\frac{34}{3}$$

Factor

$$\frac{2 \cdot 17}{3} = 11\frac{1}{3} = 11.333333333333334$$