Solve 0.4/2=0.4*0.2+h

$$\frac { 0.4 } { 2 } = 0.4 \cdot 0.2 + h$$

Solve for h

$$h=0.12$$

Steps for Solving Linear Equation

Expand \frac{0.4}{2} by multiplying both numerator and the denominator by 10.

$$\frac{4}{20}=0.4\times 0.2+h$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{1}{5}=0.4\times 0.2+h$$

Multiply 0.4 and 0.2 to get 0.08.

$$\frac{1}{5}=0.08+h$$

Swap sides so that all variable terms are on the left hand side.

$$0.08+h=\frac{1}{5}$$

Subtract 0.08 from both sides.

$$h=\frac{1}{5}-0.08$$

Convert decimal number 0.08 to fraction \frac{8}{100}. Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$h=\frac{1}{5}-\frac{2}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{1}{5} and \frac{2}{25} to fractions with denominator 25.

$$h=\frac{5}{25}-\frac{2}{25}$$

Since \frac{5}{25} and \frac{2}{25} have the same denominator, subtract them by subtracting their numerators.

$$h=\frac{5-2}{25}$$

Subtract 2 from 5 to get 3.

$$h=\frac{3}{25}$$