Solve 22/73.5/23.5/2200

$$\frac{ 22 }{ 7 } \frac{ 3.5 }{ 2 } \frac{ 3.5 }{ 2 } 200$$

Evaluate

$$1925$$

Solution Steps

Multiply \frac{3.5}{2} and \frac{3.5}{2} to get \left(\frac{3.5}{2}\right)^{2}.

$$\frac{22}{7}\times \left(\frac{3.5}{2}\right)^{2}\times 200$$

Expand \frac{3.5}{2} by multiplying both numerator and the denominator by 10.

$$\frac{22}{7}\times \left(\frac{35}{20}\right)^{2}\times 200$$

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \left(\frac{7}{4}\right)^{2}\times 200$$

Calculate \frac{7}{4} to the power of 2 and get \frac{49}{16}.

$$\frac{22}{7}\times \frac{49}{16}\times 200$$

Multiply \frac{22}{7} times \frac{49}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 49}{7\times 16}\times 200$$

Do the multiplications in the fraction \frac{22\times 49}{7\times 16}.

$$\frac{1078}{112}\times 200$$

Reduce the fraction \frac{1078}{112} to lowest terms by extracting and canceling out 14.

$$\frac{77}{8}\times 200$$

Express \frac{77}{8}\times 200 as a single fraction.

$$\frac{77\times 200}{8}$$

Multiply 77 and 200 to get 15400.

$$\frac{15400}{8}$$

Divide 15400 by 8 to get 1925.

$$1925$$

Factor

$$7\times 11\times 5^{2}$$