Solve 3*3/4+2/9*3/429/12

$$3 \times \frac { 3 } { 4 } + \frac { 2 } { 9 } \times \frac { 3 } { 4 } \frac { 29 } { 12 }$$

Evaluate

$$\frac{191}{72}\approx 2.652777778$$

Solution Steps

Express 3\times \frac{3}{4} as a single fraction.

$$\frac{3\times 3}{4}+\frac{2}{9}\times \frac{3}{4}\times \frac{29}{12}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{4}+\frac{2}{9}\times \frac{3}{4}\times \frac{29}{12}$$

Multiply \frac{2}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{4}+\frac{2\times 3}{9\times 4}\times \frac{29}{12}$$

Do the multiplications in the fraction \frac{2\times 3}{9\times 4}.

$$\frac{9}{4}+\frac{6}{36}\times \frac{29}{12}$$

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

$$\frac{9}{4}+\frac{1}{6}\times \frac{29}{12}$$

Multiply \frac{1}{6} times \frac{29}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{4}+\frac{1\times 29}{6\times 12}$$

Do the multiplications in the fraction \frac{1\times 29}{6\times 12}.

$$\frac{9}{4}+\frac{29}{72}$$

Least common multiple of 4 and 72 is 72. Convert \frac{9}{4} and \frac{29}{72} to fractions with denominator 72.

$$\frac{162}{72}+\frac{29}{72}$$

Since \frac{162}{72} and \frac{29}{72} have the same denominator, add them by adding their numerators.

$$\frac{162+29}{72}$$

Add 162 and 29 to get 191.

$$\frac{191}{72}$$

Factor

$$\frac{191}{2 ^ {3} \cdot 3 ^ {2}} = 2\frac{47}{72} = 2.6527777777777777$$