Solve 0,8*1/4+0,2*11/2/0,4=

$$0,8 \cdot \frac { 1 } { 4 } + 0,2 \cdot \frac { 1 \frac { 1 } { 2 } } { 0,4 } =$$

Evaluate

$$0,95$$

Solution Steps

Convert decimal number 0,8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{1}{4}+0,2\times \frac{\frac{1\times 2+1}{2}}{0,4}$$

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

$$\frac{4\times 1}{5\times 4}+0,2\times \frac{\frac{1\times 2+1}{2}}{0,4}$$

Cancel out 4 in both numerator and denominator.

$$\frac{1}{5}+0,2\times \frac{\frac{1\times 2+1}{2}}{0,4}$$

Express \frac{\frac{1\times 2+1}{2}}{0,4} as a single fraction.

$$\frac{1}{5}+0,2\times \frac{1\times 2+1}{2\times 0,4}$$

Multiply 1 and 2 to get 2.

$$\frac{1}{5}+0,2\times \frac{2+1}{2\times 0,4}$$

Add 2 and 1 to get 3.

$$\frac{1}{5}+0,2\times \frac{3}{2\times 0,4}$$

Multiply 2 and 0,4 to get 0,8.

$$\frac{1}{5}+0,2\times \frac{3}{0,8}$$

Expand \frac{3}{0,8} by multiplying both numerator and the denominator by 10.

$$\frac{1}{5}+0,2\times \frac{30}{8}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+0,2\times \frac{15}{4}$$

Convert decimal number 0,2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{1}{5}\times \frac{15}{4}$$

Multiply \frac{1}{5} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{5}+\frac{1\times 15}{5\times 4}$$

Do the multiplications in the fraction \frac{1\times 15}{5\times 4}.

$$\frac{1}{5}+\frac{15}{20}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{5}+\frac{3}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{4}{20}+\frac{15}{20}$$

Since \frac{4}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{4+15}{20}$$

Add 4 and 15 to get 19.

$$\frac{19}{20}$$

Factor

$$\frac{19}{5 \cdot 2 ^ {2}} = 0.95$$