Solve 2/3*22/7*7/2*7/2*frac{7}{2}

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

Evaluate

$$\frac{539}{6}\approx 89.833333333$$

Solution Steps

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

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

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

$$\frac{44}{21}\times \frac{7}{2}\times \frac{7}{2}\times \frac{7}{2}$$

Multiply \frac{44}{21} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 7}{21\times 2}\times \frac{7}{2}\times \frac{7}{2}$$

Do the multiplications in the fraction \frac{44\times 7}{21\times 2}.

$$\frac{308}{42}\times \frac{7}{2}\times \frac{7}{2}$$

Reduce the fraction \frac{308}{42} to lowest terms by extracting and canceling out 14.

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

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

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

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

$$\frac{154}{6}\times \frac{7}{2}$$

Reduce the fraction \frac{154}{6} to lowest terms by extracting and canceling out 2.

$$\frac{77}{3}\times \frac{7}{2}$$

Multiply \frac{77}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 7}{3\times 2}$$

Do the multiplications in the fraction \frac{77\times 7}{3\times 2}.

$$\frac{539}{6}$$

Factor

$$\frac{7 ^ {2} \cdot 11}{2 \cdot 3} = 89\frac{5}{6} = 89.83333333333333$$