Solve 4/3*22/7*3.5*3.5*3.5=

$$\frac{ 4 }{ 3 } \times \frac{ 22 }{ 7 } \times 3.5 \times 3.5 \times 3.5=$$

Evaluate

$$\frac{539}{3}\approx 179.666666667$$

Solution Steps

Multiply \frac{4}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 22}{3\times 7}\times 3.5\times 3.5\times 3.5$$

Do the multiplications in the fraction \frac{4\times 22}{3\times 7}.

$$\frac{88}{21}\times 3.5\times 3.5\times 3.5$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{88}{21}\times \frac{7}{2}\times 3.5\times 3.5$$

Multiply \frac{88}{21} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{88\times 7}{21\times 2}\times 3.5\times 3.5$$

Do the multiplications in the fraction \frac{88\times 7}{21\times 2}.

$$\frac{616}{42}\times 3.5\times 3.5$$

Reduce the fraction \frac{616}{42} to lowest terms by extracting and canceling out 14.

$$\frac{44}{3}\times 3.5\times 3.5$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{44}{3}\times \frac{7}{2}\times 3.5$$

Multiply \frac{44}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 7}{3\times 2}\times 3.5$$

Do the multiplications in the fraction \frac{44\times 7}{3\times 2}.

$$\frac{308}{6}\times 3.5$$

Reduce the fraction \frac{308}{6} to lowest terms by extracting and canceling out 2.

$$\frac{154}{3}\times 3.5$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{154}{3}\times \frac{7}{2}$$

Multiply \frac{154}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{154\times 7}{3\times 2}$$

Do the multiplications in the fraction \frac{154\times 7}{3\times 2}.

$$\frac{1078}{6}$$

Reduce the fraction \frac{1078}{6} to lowest terms by extracting and canceling out 2.

$$\frac{539}{3}$$

Factor

$$\frac{11 \cdot 7 ^ {2}}{3} = 179\frac{2}{3} = 179.66666666666666$$