Solve 2*22/7*98/100*120/360

$$2 \times \frac{ 22 }{ 7 } \times \frac{ 98 }{ 100 } \times \frac{ 120 }{ 360 }$$

Evaluate

$$\frac{154}{75}\approx 2.053333333$$

Solution Steps

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{2\times 22}{7}\times \frac{98}{100}\times \frac{120}{360}$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times \frac{98}{100}\times \frac{120}{360}$$

Reduce the fraction \frac{98}{100} to lowest terms by extracting and canceling out 2.

$$\frac{44}{7}\times \frac{49}{50}\times \frac{120}{360}$$

Multiply \frac{44}{7} times \frac{49}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 49}{7\times 50}\times \frac{120}{360}$$

Do the multiplications in the fraction \frac{44\times 49}{7\times 50}.

$$\frac{2156}{350}\times \frac{120}{360}$$

Reduce the fraction \frac{2156}{350} to lowest terms by extracting and canceling out 14.

$$\frac{154}{25}\times \frac{120}{360}$$

Reduce the fraction \frac{120}{360} to lowest terms by extracting and canceling out 120.

$$\frac{154}{25}\times \frac{1}{3}$$

Multiply \frac{154}{25} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{154\times 1}{25\times 3}$$

Do the multiplications in the fraction \frac{154\times 1}{25\times 3}.

$$\frac{154}{75}$$

Factor

$$\frac{2 \cdot 7 \cdot 11}{3 \cdot 5 ^ {2}} = 2\frac{4}{75} = 2.0533333333333332$$