Solve 13/20+1/2-1/4=-t

$$\frac { 13 } { 20 } + \frac { 1 } { 2 } - \frac { 1 } { 4 } = - t$$

Solve for t

$$t=-\frac{9}{10}=-0.9$$

Steps for Solving Linear Equation

Least common multiple of 20 and 2 is 20. Convert \frac{13}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{13}{20}+\frac{10}{20}-\frac{1}{4}=-t$$

Since \frac{13}{20} and \frac{10}{20} have the same denominator, add them by adding their numerators.

$$\frac{13+10}{20}-\frac{1}{4}=-t$$

Add 13 and 10 to get 23.

$$\frac{23}{20}-\frac{1}{4}=-t$$

Least common multiple of 20 and 4 is 20. Convert \frac{23}{20} and \frac{1}{4} to fractions with denominator 20.

$$\frac{23}{20}-\frac{5}{20}=-t$$

Since \frac{23}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-5}{20}=-t$$

Subtract 5 from 23 to get 18.

$$\frac{18}{20}=-t$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}=-t$$

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

$$-t=\frac{9}{10}$$

Multiply both sides by -1.

$$t=-\frac{9}{10}$$