Solve -98/7+21/3/1=

$$- 9 \frac { 8 } { 7 } + \frac { 2 \frac { 1 } { 3 } } { 1 } =$$

Evaluate

$$-\frac{164}{21}\approx -7.80952381$$

Solution Steps

Multiply 9 and 7 to get 63.

$$-\frac{63+8}{7}+\frac{\frac{2\times 3+1}{3}}{1}$$

Add 63 and 8 to get 71.

$$-\frac{71}{7}+\frac{\frac{2\times 3+1}{3}}{1}$$

Multiply 2 and 3 to get 6.

$$-\frac{71}{7}+\frac{\frac{6+1}{3}}{1}$$

Add 6 and 1 to get 7.

$$-\frac{71}{7}+\frac{\frac{7}{3}}{1}$$

Anything divided by one gives itself.

$$-\frac{71}{7}+\frac{7}{3}$$

Least common multiple of 7 and 3 is 21. Convert -\frac{71}{7} and \frac{7}{3} to fractions with denominator 21.

$$-\frac{213}{21}+\frac{49}{21}$$

Since -\frac{213}{21} and \frac{49}{21} have the same denominator, add them by adding their numerators.

$$\frac{-213+49}{21}$$

Add -213 and 49 to get -164.

$$-\frac{164}{21}$$

Factor

$$-\frac{164}{21} = -7\frac{17}{21} = -7.809523809523809$$