Solve 5*1-1/6-3*1-1/4

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply 5 and 1 to get 5.

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

Subtract 1 from 5 to get 4.

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

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

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

Multiply 3 and 1 to get 3.

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

Subtract 1 from 3 to get 2.

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

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

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

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{1}{2} to fractions with denominator 6.

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

Since \frac{4}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 4 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$