Solve 2.2*800^2/800^2*3.0/2.2*1.5/1.0

$$2.2 \times \frac{ { 800 }^{ 2 } }{ { 800 }^{ 2 } } \times \frac{ 3.0 }{ 2.2 } \times \frac{ 1.5 }{ 1.0 }$$

Evaluate

$$4.5$$

Solution Steps

Divide 800^{2} by 800^{2} to get 1.

$$2.2\times 1\times \frac{3}{2.2}\times \frac{1.5}{1}$$

Multiply 2.2 and 1 to get 2.2.

$$2.2\times \frac{3}{2.2}\times \frac{1.5}{1}$$

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

$$2.2\times \frac{30}{22}\times \frac{1.5}{1}$$

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

$$2.2\times \frac{15}{11}\times \frac{1.5}{1}$$

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.

$$\frac{11}{5}\times \frac{15}{11}\times \frac{1.5}{1}$$

Multiply \frac{11}{5} times \frac{15}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 15}{5\times 11}\times \frac{1.5}{1}$$

Cancel out 11 in both numerator and denominator.

$$\frac{15}{5}\times \frac{1.5}{1}$$

Divide 15 by 5 to get 3.

$$3\times \frac{1.5}{1}$$

Anything divided by one gives itself.

$$3\times 1.5$$

Multiply 3 and 1.5 to get 4.5.

$$4.5$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$