Solve 51/4*7*31/7*22/7

$$5 \frac { 1 } { 4 } \times 7 \times 3 \frac { 1 } { 7 } \times 2 \frac { 2 } { 7 }$$

Evaluate

$$264$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4}\times 7\times \frac{3\times 7+1}{7}\times \frac{2\times 7+2}{7}$$

Add 20 and 1 to get 21.

$$\frac{21}{4}\times 7\times \frac{3\times 7+1}{7}\times \frac{2\times 7+2}{7}$$

Express \frac{21}{4}\times 7 as a single fraction.

$$\frac{21\times 7}{4}\times \frac{3\times 7+1}{7}\times \frac{2\times 7+2}{7}$$

Multiply 21 and 7 to get 147.

$$\frac{147}{4}\times \frac{3\times 7+1}{7}\times \frac{2\times 7+2}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{147}{4}\times \frac{21+1}{7}\times \frac{2\times 7+2}{7}$$

Add 21 and 1 to get 22.

$$\frac{147}{4}\times \frac{22}{7}\times \frac{2\times 7+2}{7}$$

Multiply \frac{147}{4} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{147\times 22}{4\times 7}\times \frac{2\times 7+2}{7}$$

Do the multiplications in the fraction \frac{147\times 22}{4\times 7}.

$$\frac{3234}{28}\times \frac{2\times 7+2}{7}$$

Reduce the fraction \frac{3234}{28} to lowest terms by extracting and canceling out 14.

$$\frac{231}{2}\times \frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{231}{2}\times \frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{231}{2}\times \frac{16}{7}$$

Multiply \frac{231}{2} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{231\times 16}{2\times 7}$$

Do the multiplications in the fraction \frac{231\times 16}{2\times 7}.

$$\frac{3696}{14}$$

Divide 3696 by 14 to get 264.

$$264$$

Factor

$$2^{3}\times 3\times 11$$