Solve 4/3+9-19/21=

$$\frac { 4 } { 3 } + 9 - \frac { 19 } { 21 } =$$

Evaluate

$$\frac{66}{7}\approx 9.428571429$$

Solution Steps

Convert 9 to fraction \frac{27}{3}.

$$\frac{4}{3}+\frac{27}{3}-\frac{19}{21}$$

Since \frac{4}{3} and \frac{27}{3} have the same denominator, add them by adding their numerators.

$$\frac{4+27}{3}-\frac{19}{21}$$

Add 4 and 27 to get 31.

$$\frac{31}{3}-\frac{19}{21}$$

Least common multiple of 3 and 21 is 21. Convert \frac{31}{3} and \frac{19}{21} to fractions with denominator 21.

$$\frac{217}{21}-\frac{19}{21}$$

Since \frac{217}{21} and \frac{19}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{217-19}{21}$$

Subtract 19 from 217 to get 198.

$$\frac{198}{21}$$

Reduce the fraction \frac{198}{21} to lowest terms by extracting and canceling out 3.

$$\frac{66}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 11}{7} = 9\frac{3}{7} = 9.428571428571429$$