Solve {0.25div(2-3/4)+1.8}*3

$$\{ 0.25 \div ( 2 - \frac { 3 } { 4 } ) + 1.8 \} \times 3$$

Evaluate

$$6$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\left(\frac{0.25}{\frac{8}{4}-\frac{3}{4}}+1.8\right)\times 3$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{0.25}{\frac{8-3}{4}}+1.8\right)\times 3$$

Subtract 3 from 8 to get 5.

$$\left(\frac{0.25}{\frac{5}{4}}+1.8\right)\times 3$$

Divide 0.25 by \frac{5}{4} by multiplying 0.25 by the reciprocal of \frac{5}{4}.

$$\left(0.25\times \frac{4}{5}+1.8\right)\times 3$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\left(\frac{1}{4}\times \frac{4}{5}+1.8\right)\times 3$$

Multiply \frac{1}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{1\times 4}{4\times 5}+1.8\right)\times 3$$

Cancel out 4 in both numerator and denominator.

$$\left(\frac{1}{5}+1.8\right)\times 3$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{1}{5}+\frac{9}{5}\right)\times 3$$

Since \frac{1}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+9}{5}\times 3$$

Add 1 and 9 to get 10.

$$\frac{10}{5}\times 3$$

Divide 10 by 5 to get 2.

$$2\times 3$$

Multiply 2 and 3 to get 6.

$$6$$

Factor

$$2\times 3$$