Solve 3.3-1.8div6/600div1000

$$\frac { 3.3 - 1.8 \div 6 } { 600 \div 1000 }$$

Evaluate

$$5$$

Solution Steps

Expand \frac{1.8}{6} by multiplying both numerator and the denominator by 10.

$$\frac{3.3-\frac{18}{60}}{\frac{600}{1000}}$$

Reduce the fraction \frac{18}{60} to lowest terms by extracting and canceling out 6.

$$\frac{3.3-\frac{3}{10}}{\frac{600}{1000}}$$

Convert decimal number 3.3 to fraction \frac{33}{10}.

$$\frac{\frac{33}{10}-\frac{3}{10}}{\frac{600}{1000}}$$

Since \frac{33}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{33-3}{10}}{\frac{600}{1000}}$$

Subtract 3 from 33 to get 30.

$$\frac{\frac{30}{10}}{\frac{600}{1000}}$$

Divide 30 by 10 to get 3.

$$\frac{3}{\frac{600}{1000}}$$

Reduce the fraction \frac{600}{1000} to lowest terms by extracting and canceling out 200.

$$\frac{3}{\frac{3}{5}}$$

Divide 3 by \frac{3}{5} by multiplying 3 by the reciprocal of \frac{3}{5}.

$$3\times \frac{5}{3}$$

Cancel out 3 and 3.

$$5$$

Factor

$$5$$