Solve [(0.05+1/4)div0.25-40%]*3/16=

$$[ ( 0.05 + \frac { 1 } { 4 } ) \div 0.25 - 40 \% ] \times \frac { 3 } { 16 } =$$

Evaluate

$$0.15$$

Solution Steps

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\left(\frac{\frac{1}{20}+\frac{1}{4}}{0.25}-\frac{40}{100}\right)\times \frac{3}{16}$$

Least common multiple of 20 and 4 is 20. Convert \frac{1}{20} and \frac{1}{4} to fractions with denominator 20.

$$\left(\frac{\frac{1}{20}+\frac{5}{20}}{0.25}-\frac{40}{100}\right)\times \frac{3}{16}$$

Since \frac{1}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\left(\frac{\frac{1+5}{20}}{0.25}-\frac{40}{100}\right)\times \frac{3}{16}$$

Add 1 and 5 to get 6.

$$\left(\frac{\frac{6}{20}}{0.25}-\frac{40}{100}\right)\times \frac{3}{16}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\left(\frac{\frac{3}{10}}{0.25}-\frac{40}{100}\right)\times \frac{3}{16}$$

Express \frac{\frac{3}{10}}{0.25} as a single fraction.

$$\left(\frac{3}{10\times 0.25}-\frac{40}{100}\right)\times \frac{3}{16}$$

Multiply 10 and 0.25 to get 2.5.

$$\left(\frac{3}{2.5}-\frac{40}{100}\right)\times \frac{3}{16}$$

Expand \frac{3}{2.5} by multiplying both numerator and the denominator by 10.

$$\left(\frac{30}{25}-\frac{40}{100}\right)\times \frac{3}{16}$$

Reduce the fraction \frac{30}{25} to lowest terms by extracting and canceling out 5.

$$\left(\frac{6}{5}-\frac{40}{100}\right)\times \frac{3}{16}$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\left(\frac{6}{5}-\frac{2}{5}\right)\times \frac{3}{16}$$

Since \frac{6}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-2}{5}\times \frac{3}{16}$$

Subtract 2 from 6 to get 4.

$$\frac{4}{5}\times \frac{3}{16}$$

Multiply \frac{4}{5} times \frac{3}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{5\times 16}$$

Do the multiplications in the fraction \frac{4\times 3}{5\times 16}.

$$\frac{12}{80}$$

Reduce the fraction \frac{12}{80} to lowest terms by extracting and canceling out 4.

$$\frac{3}{20}$$

Factor

$$\frac{3}{5 \cdot 2 ^ {2}} = 0.15$$