Solve 2.2*(2000/800)3.0/2.22.3/1.0

$$2.2 \times ( \frac{ 2000 }{ 800 } ) \frac{ 3.0 }{ 2.2 } \frac{ 2.3 }{ 1.0 }$$

Evaluate

$$17.25$$

Solution Steps

Reduce the fraction \frac{2000}{800} to lowest terms by extracting and canceling out 400.

$$2.2\times \frac{5}{2}\times \frac{3}{2.2}\times \frac{2.3}{1}$$

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}\times \frac{5}{2}\times \frac{3}{2.2}\times \frac{2.3}{1}$$

Multiply \frac{11}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 5}{5\times 2}\times \frac{3}{2.2}\times \frac{2.3}{1}$$

Cancel out 5 in both numerator and denominator.

$$\frac{11}{2}\times \frac{3}{2.2}\times \frac{2.3}{1}$$

Expand \frac{3}{2.2} by multiplying both numerator and the denominator by 10.

$$\frac{11}{2}\times \frac{30}{22}\times \frac{2.3}{1}$$

Reduce the fraction \frac{30}{22} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}\times \frac{15}{11}\times \frac{2.3}{1}$$

Multiply \frac{11}{2} times \frac{15}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 15}{2\times 11}\times \frac{2.3}{1}$$

Cancel out 11 in both numerator and denominator.

$$\frac{15}{2}\times \frac{2.3}{1}$$

Anything divided by one gives itself.

$$\frac{15}{2}\times 2.3$$

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$\frac{15}{2}\times \frac{23}{10}$$

Multiply \frac{15}{2} times \frac{23}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 23}{2\times 10}$$

Do the multiplications in the fraction \frac{15\times 23}{2\times 10}.

$$\frac{345}{20}$$

Reduce the fraction \frac{345}{20} to lowest terms by extracting and canceling out 5.

$$\frac{69}{4}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {2}} = 17\frac{1}{4} = 17.25$$