Solve 3/4-3/6+t

$$3 / 4 - 3 / 6 + t$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}-\frac{1}{2}+t$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{3}{4}-\frac{2}{4}+t$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{4}+t$$

Subtract 2 from 3 to get 1.

$$\frac{1}{4}+t$$

Factor

$$\frac{4t+1}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{1+4t}{4}$$

Consider 3-2+4t. Multiply and combine like terms.

$$4t+1$$

Rewrite the complete factored expression.

$$\frac{4t+1}{4}$$