Solve t/22-14/33-4/66=

$$\frac { t } { 22 } - \frac { 14 } { 33 } - \frac { 4 } { 66 } =$$

Evaluate

$$\frac{t}{22}-\frac{16}{33}$$

Short Solution Steps

Reduce the fraction \frac{4}{66} to lowest terms by extracting and canceling out 2.

$$\frac{t}{22}-\frac{14}{33}-\frac{2}{33}$$

Since -\frac{14}{33} and \frac{2}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{t}{22}+\frac{-14-2}{33}$$

Subtract 2 from -14 to get -16.

$$\frac{t}{22}-\frac{16}{33}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 22 and 33 is 66. Multiply \frac{t}{22} times \frac{3}{3}. Multiply \frac{16}{33} times \frac{2}{2}.

$$\frac{3t}{66}-\frac{16\times 2}{66}$$

Since \frac{3t}{66} and \frac{16\times 2}{66} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3t-16\times 2}{66}$$

Do the multiplications in 3t-16\times 2.

$$\frac{3t-32}{66}$$

Factor

$$\frac{3t-32}{66}$$

Solution Steps

Factor out \frac{1}{66}.

$$\frac{3t-32}{66}$$

Consider 3t-28-4. Multiply and combine like terms.

$$3t-32$$

Rewrite the complete factored expression.

$$\frac{3t-32}{66}$$