Solve 3/4*11/9+22/3

$$\frac { 3 } { 4 } \times 1 \frac { 1 } { 9 } + 2 \frac { 2 } { 3 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{3}{4}\times \frac{9+1}{9}+\frac{2\times 3+2}{3}$$

Add 9 and 1 to get 10.

$$\frac{3}{4}\times \frac{10}{9}+\frac{2\times 3+2}{3}$$

Multiply \frac{3}{4} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{4\times 9}+\frac{2\times 3+2}{3}$$

Do the multiplications in the fraction \frac{3\times 10}{4\times 9}.

$$\frac{30}{36}+\frac{2\times 3+2}{3}$$

Reduce the fraction \frac{30}{36} to lowest terms by extracting and canceling out 6.

$$\frac{5}{6}+\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{5}{6}+\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{5}{6}+\frac{8}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{5}{6} and \frac{8}{3} to fractions with denominator 6.

$$\frac{5}{6}+\frac{16}{6}$$

Since \frac{5}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+16}{6}$$

Add 5 and 16 to get 21.

$$\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$