Solve 21/6+(-0.4)=

$$2 \frac { 1 } { 6 } + ( - 0.4 ) =$$

Evaluate

$$\frac{53}{30}\approx 1.766666667$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+1}{6}-0.4$$

Add 12 and 1 to get 13.

$$\frac{13}{6}-0.4$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{6}-\frac{2}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{13}{6} and \frac{2}{5} to fractions with denominator 30.

$$\frac{65}{30}-\frac{12}{30}$$

Since \frac{65}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-12}{30}$$

Subtract 12 from 65 to get 53.

$$\frac{53}{30}$$

Factor

$$\frac{53}{2 \cdot 3 \cdot 5} = 1\frac{23}{30} = 1.7666666666666666$$