Solve 5/3+17/6-4=

$$\frac { 5 } { 3 } + 1 \frac { 7 } { 6 } - 4 =$$

Evaluate

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

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{5}{3}+\frac{6+7}{6}-4$$

Add 6 and 7 to get 13.

$$\frac{5}{3}+\frac{13}{6}-4$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{13}{6} to fractions with denominator 6.

$$\frac{10}{6}+\frac{13}{6}-4$$

Since \frac{10}{6} and \frac{13}{6} have the same denominator, add them by adding their numerators.

$$\frac{10+13}{6}-4$$

Add 10 and 13 to get 23.

$$\frac{23}{6}-4$$

Convert 4 to fraction \frac{24}{6}.

$$\frac{23}{6}-\frac{24}{6}$$

Since \frac{23}{6} and \frac{24}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-24}{6}$$

Subtract 24 from 23 to get -1.

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

Factor

$$-\frac{1}{6} = -0.16666666666666666$$