Solve =1/3*2*22/7*4*4*7

$$= \frac { 1 } { 3 } \times 2 \times \frac { 22 } { 7 } \times 4 \times 4 \times 7$$

Evaluate

$$\frac{704}{3}\approx 234.666666667$$

Solution Steps

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$\frac{2}{3}\times \frac{22}{7}\times 4\times 4\times 7$$

Multiply \frac{2}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 22}{3\times 7}\times 4\times 4\times 7$$

Do the multiplications in the fraction \frac{2\times 22}{3\times 7}.

$$\frac{44}{21}\times 4\times 4\times 7$$

Express \frac{44}{21}\times 4 as a single fraction.

$$\frac{44\times 4}{21}\times 4\times 7$$

Multiply 44 and 4 to get 176.

$$\frac{176}{21}\times 4\times 7$$

Express \frac{176}{21}\times 4 as a single fraction.

$$\frac{176\times 4}{21}\times 7$$

Multiply 176 and 4 to get 704.

$$\frac{704}{21}\times 7$$

Express \frac{704}{21}\times 7 as a single fraction.

$$\frac{704\times 7}{21}$$

Multiply 704 and 7 to get 4928.

$$\frac{4928}{21}$$

Reduce the fraction \frac{4928}{21} to lowest terms by extracting and canceling out 7.

$$\frac{704}{3}$$

Factor

$$\frac{2 ^ {6} \cdot 11}{3} = 234\frac{2}{3} = 234.66666666666666$$