Solve 74/9+3/4

$$7 \frac{ 4 }{ 9 } + \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{295}{36}\approx 8.194444444$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+4}{9}+\frac{3}{4}$$

Add 63 and 4 to get 67.

$$\frac{67}{9}+\frac{3}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{67}{9} and \frac{3}{4} to fractions with denominator 36.

$$\frac{268}{36}+\frac{27}{36}$$

Since \frac{268}{36} and \frac{27}{36} have the same denominator, add them by adding their numerators.

$$\frac{268+27}{36}$$

Add 268 and 27 to get 295.

$$\frac{295}{36}$$

Factor

$$\frac{5 \cdot 59}{2 ^ {2} \cdot 3 ^ {2}} = 8\frac{7}{36} = 8.194444444444445$$