Solve 214/3-1/5-1*4/4-1/6

$$\frac { 2 \frac { 14 } { 3 } - 1 } { 5 } - 1 \cdot \frac { 4 } { 4 } - \frac { 1 } { 6 }$$

Evaluate

$$-\frac{1}{30}\approx -0.033333333$$

Solution Steps

Divide 4 by 4 to get 1.

$$\frac{\frac{2\times 3+14}{3}-1}{5}-1\times 1-\frac{1}{6}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6+14}{3}-1}{5}-1\times 1-\frac{1}{6}$$

Add 6 and 14 to get 20.

$$\frac{\frac{20}{3}-1}{5}-1\times 1-\frac{1}{6}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{\frac{20}{3}-\frac{3}{3}}{5}-1\times 1-\frac{1}{6}$$

Since \frac{20}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{20-3}{3}}{5}-1\times 1-\frac{1}{6}$$

Subtract 3 from 20 to get 17.

$$\frac{\frac{17}{3}}{5}-1\times 1-\frac{1}{6}$$

Express \frac{\frac{17}{3}}{5} as a single fraction.

$$\frac{17}{3\times 5}-1\times 1-\frac{1}{6}$$

Multiply 3 and 5 to get 15.

$$\frac{17}{15}-1\times 1-\frac{1}{6}$$

Multiply 1 and 1 to get 1.

$$\frac{17}{15}-1-\frac{1}{6}$$

Convert 1 to fraction \frac{15}{15}.

$$\frac{17}{15}-\frac{15}{15}-\frac{1}{6}$$

Since \frac{17}{15} and \frac{15}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-15}{15}-\frac{1}{6}$$

Subtract 15 from 17 to get 2.

$$\frac{2}{15}-\frac{1}{6}$$

Least common multiple of 15 and 6 is 30. Convert \frac{2}{15} and \frac{1}{6} to fractions with denominator 30.

$$\frac{4}{30}-\frac{5}{30}$$

Since \frac{4}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-5}{30}$$

Subtract 5 from 4 to get -1.

$$-\frac{1}{30}$$

Factor

$$-\frac{1}{30} = -0.03333333333333333$$