Solve 55/9+47/4

$$5 \frac { 5 } { 9 } + 4 \frac { 7 } { 4 }$$

Evaluate

$$\frac{407}{36}\approx 11.305555556$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+5}{9}+\frac{4\times 4+7}{4}$$

Add 45 and 5 to get 50.

$$\frac{50}{9}+\frac{4\times 4+7}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{50}{9}+\frac{16+7}{4}$$

Add 16 and 7 to get 23.

$$\frac{50}{9}+\frac{23}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{50}{9} and \frac{23}{4} to fractions with denominator 36.

$$\frac{200}{36}+\frac{207}{36}$$

Since \frac{200}{36} and \frac{207}{36} have the same denominator, add them by adding their numerators.

$$\frac{200+207}{36}$$

Add 200 and 207 to get 407.

$$\frac{407}{36}$$

Factor

$$\frac{11 \cdot 37}{2 ^ {2} \cdot 3 ^ {2}} = 11\frac{11}{36} = 11.305555555555555$$