Solve 3h-2/5=7/20

$$3 h - \frac { 2 } { 5 } = \frac { 7 } { 20 }$$

Solve for h

$$h=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Add \frac{2}{5} to both sides.

$$3h=\frac{7}{20}+\frac{2}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{7}{20} and \frac{2}{5} to fractions with denominator 20.

$$3h=\frac{7}{20}+\frac{8}{20}$$

Since \frac{7}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$3h=\frac{7+8}{20}$$

Add 7 and 8 to get 15.

$$3h=\frac{15}{20}$$

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

$$3h=\frac{3}{4}$$

Divide both sides by 3.

$$h=\frac{\frac{3}{4}}{3}$$

Express \frac{\frac{3}{4}}{3} as a single fraction.

$$h=\frac{3}{4\times 3}$$

Cancel out 3 in both numerator and denominator.

$$h=\frac{1}{4}$$