Solve 2*22/7*35/10*35/10

$$2 \times \frac{ 22 }{ 7 } \times \frac{ 35 }{ 10 } \times \frac{ 35 }{ 10 }$$

Evaluate

$$77$$

Solution Steps

Multiply \frac{35}{10} and \frac{35}{10} to get \left(\frac{35}{10}\right)^{2}.

$$2\times \frac{22}{7}\times \left(\frac{35}{10}\right)^{2}$$

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

$$\frac{2\times 22}{7}\times \left(\frac{35}{10}\right)^{2}$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times \left(\frac{35}{10}\right)^{2}$$

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

$$\frac{44}{7}\times \left(\frac{7}{2}\right)^{2}$$

Calculate \frac{7}{2} to the power of 2 and get \frac{49}{4}.

$$\frac{44}{7}\times \frac{49}{4}$$

Multiply \frac{44}{7} times \frac{49}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 49}{7\times 4}$$

Do the multiplications in the fraction \frac{44\times 49}{7\times 4}.

$$\frac{2156}{28}$$

Divide 2156 by 28 to get 77.

$$77$$

Factor

$$7\times 11$$