Solve 22/7*.35*35*22/frac{{}}

$$\frac{ 22 }{ 7 } \times .35 \times 35 \times \frac{ 22 }{ \frac{ }{ } }$$

Evaluate

$$847$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{22}{7}\times 0.35\times 35\times \frac{22}{1}$$

Convert decimal number 0.35 to fraction \frac{35}{100}. Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \frac{7}{20}\times 35\times \frac{22}{1}$$

Multiply \frac{22}{7} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 7}{7\times 20}\times 35\times \frac{22}{1}$$

Cancel out 7 in both numerator and denominator.

$$\frac{22}{20}\times 35\times \frac{22}{1}$$

Reduce the fraction \frac{22}{20} to lowest terms by extracting and canceling out 2.

$$\frac{11}{10}\times 35\times \frac{22}{1}$$

Express \frac{11}{10}\times 35 as a single fraction.

$$\frac{11\times 35}{10}\times \frac{22}{1}$$

Multiply 11 and 35 to get 385.

$$\frac{385}{10}\times \frac{22}{1}$$

Reduce the fraction \frac{385}{10} to lowest terms by extracting and canceling out 5.

$$\frac{77}{2}\times \frac{22}{1}$$

Anything divided by one gives itself.

$$\frac{77}{2}\times 22$$

Express \frac{77}{2}\times 22 as a single fraction.

$$\frac{77\times 22}{2}$$

Multiply 77 and 22 to get 1694.

$$\frac{1694}{2}$$

Divide 1694 by 2 to get 847.

$$847$$

Factor

$$7\times 11^{2}$$