Solve 176/9-376/21

$$17 \frac { 6 } { 9 } - 37 \frac { 6 } { 21 }$$

Evaluate

$$-\frac{412}{21}\approx -19.619047619$$

Solution Steps

Multiply 17 and 9 to get 153.

$$\frac{153+6}{9}-\frac{37\times 21+6}{21}$$

Add 153 and 6 to get 159.

$$\frac{159}{9}-\frac{37\times 21+6}{21}$$

Reduce the fraction \frac{159}{9} to lowest terms by extracting and canceling out 3.

$$\frac{53}{3}-\frac{37\times 21+6}{21}$$

Multiply 37 and 21 to get 777.

$$\frac{53}{3}-\frac{777+6}{21}$$

Add 777 and 6 to get 783.

$$\frac{53}{3}-\frac{783}{21}$$

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

$$\frac{53}{3}-\frac{261}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{53}{3} and \frac{261}{7} to fractions with denominator 21.

$$\frac{371}{21}-\frac{783}{21}$$

Since \frac{371}{21} and \frac{783}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{371-783}{21}$$

Subtract 783 from 371 to get -412.

$$-\frac{412}{21}$$

Factor

$$-\frac{412}{21} = -19\frac{13}{21} = -19.61904761904762$$