Solve 35/9+37/4=

$$3 \frac { 5 } { 9 } + 3 \frac { 7 } { 4 } =$$

Evaluate

$$\frac{299}{36}\approx 8.305555556$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+5}{9}+\frac{3\times 4+7}{4}$$

Add 27 and 5 to get 32.

$$\frac{32}{9}+\frac{3\times 4+7}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{32}{9}+\frac{12+7}{4}$$

Add 12 and 7 to get 19.

$$\frac{32}{9}+\frac{19}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{32}{9} and \frac{19}{4} to fractions with denominator 36.

$$\frac{128}{36}+\frac{171}{36}$$

Since \frac{128}{36} and \frac{171}{36} have the same denominator, add them by adding their numerators.

$$\frac{128+171}{36}$$

Add 128 and 171 to get 299.

$$\frac{299}{36}$$

Factor

$$\frac{13 \cdot 23}{2 ^ {2} \cdot 3 ^ {2}} = 8\frac{11}{36} = 8.305555555555555$$