Solve 176/7-376/21

$$17 \frac { 6 } { 7 } - 37 \frac { 6 } { 21 }$$

Evaluate

$$-\frac{136}{7}\approx -19.428571429$$

Solution Steps

Multiply 17 and 7 to get 119.

$$\frac{119+6}{7}-\frac{37\times 21+6}{21}$$

Add 119 and 6 to get 125.

$$\frac{125}{7}-\frac{37\times 21+6}{21}$$

Multiply 37 and 21 to get 777.

$$\frac{125}{7}-\frac{777+6}{21}$$

Add 777 and 6 to get 783.

$$\frac{125}{7}-\frac{783}{21}$$

Reduce the fraction \frac{783}{21} to lowest terms by extracting and canceling out 3.

$$\frac{125}{7}-\frac{261}{7}$$

Since \frac{125}{7} and \frac{261}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-261}{7}$$

Subtract 261 from 125 to get -136.

$$-\frac{136}{7}$$

Factor

$$-\frac{136}{7} = -19\frac{3}{7} = -19.428571428571427$$