Solve 5/3-4/6/frac{1{4}}

$$\frac { \frac { 5 } { 3 } - \frac { 4 } { 6 } } { \frac { 1 } { 4 } }$$

Evaluate

$$4$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5}{3}-\frac{2}{3}}{\frac{1}{4}}$$

Since \frac{5}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-2}{3}}{\frac{1}{4}}$$

Subtract 2 from 5 to get 3.

$$\frac{\frac{3}{3}}{\frac{1}{4}}$$

Divide 3 by 3 to get 1.

$$\frac{1}{\frac{1}{4}}$$

Divide 1 by \frac{1}{4} by multiplying 1 by the reciprocal of \frac{1}{4}.

$$1\times 4$$

Multiply 1 and 4 to get 4.

$$4$$

Factor

$$2^{2}$$