Solve 2k+1/4=37/20

$$2 k + \frac { 1 } { 4 } = \frac { 37 } { 20 }$$

Solve for k

$$k=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

Subtract \frac{1}{4} from both sides.

$$2k=\frac{37}{20}-\frac{1}{4}$$

Least common multiple of 20 and 4 is 20. Convert \frac{37}{20} and \frac{1}{4} to fractions with denominator 20.

$$2k=\frac{37}{20}-\frac{5}{20}$$

Since \frac{37}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$2k=\frac{37-5}{20}$$

Subtract 5 from 37 to get 32.

$$2k=\frac{32}{20}$$

Reduce the fraction \frac{32}{20} to lowest terms by extracting and canceling out 4.

$$2k=\frac{8}{5}$$

Divide both sides by 2.

$$k=\frac{\frac{8}{5}}{2}$$

Express \frac{\frac{8}{5}}{2} as a single fraction.

$$k=\frac{8}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$k=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$k=\frac{4}{5}$$