Solve 43/2+54/9-68/6=

$$4 \frac { 3 } { 2 } + 5 \frac { 4 } { 9 } - 6 \frac { 8 } { 6 } =$$

Evaluate

$$\frac{65}{18}\approx 3.611111111$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+3}{2}+\frac{5\times 9+4}{9}-\frac{6\times 6+8}{6}$$

Add 8 and 3 to get 11.

$$\frac{11}{2}+\frac{5\times 9+4}{9}-\frac{6\times 6+8}{6}$$

Multiply 5 and 9 to get 45.

$$\frac{11}{2}+\frac{45+4}{9}-\frac{6\times 6+8}{6}$$

Add 45 and 4 to get 49.

$$\frac{11}{2}+\frac{49}{9}-\frac{6\times 6+8}{6}$$

Least common multiple of 2 and 9 is 18. Convert \frac{11}{2} and \frac{49}{9} to fractions with denominator 18.

$$\frac{99}{18}+\frac{98}{18}-\frac{6\times 6+8}{6}$$

Since \frac{99}{18} and \frac{98}{18} have the same denominator, add them by adding their numerators.

$$\frac{99+98}{18}-\frac{6\times 6+8}{6}$$

Add 99 and 98 to get 197.

$$\frac{197}{18}-\frac{6\times 6+8}{6}$$

Multiply 6 and 6 to get 36.

$$\frac{197}{18}-\frac{36+8}{6}$$

Add 36 and 8 to get 44.

$$\frac{197}{18}-\frac{44}{6}$$

Reduce the fraction \frac{44}{6} to lowest terms by extracting and canceling out 2.

$$\frac{197}{18}-\frac{22}{3}$$

Least common multiple of 18 and 3 is 18. Convert \frac{197}{18} and \frac{22}{3} to fractions with denominator 18.

$$\frac{197}{18}-\frac{132}{18}$$

Since \frac{197}{18} and \frac{132}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{197-132}{18}$$

Subtract 132 from 197 to get 65.

$$\frac{65}{18}$$

Factor

$$\frac{5 \cdot 13}{2 \cdot 3 ^ {2}} = 3\frac{11}{18} = 3.611111111111111$$