Solve 42/9+33/4

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

Evaluate

$$\frac{287}{36}\approx 7.972222222$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+2}{9}+\frac{3\times 4+3}{4}$$

Add 36 and 2 to get 38.

$$\frac{38}{9}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{38}{9}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{38}{9}+\frac{15}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{38}{9} and \frac{15}{4} to fractions with denominator 36.

$$\frac{152}{36}+\frac{135}{36}$$

Since \frac{152}{36} and \frac{135}{36} have the same denominator, add them by adding their numerators.

$$\frac{152+135}{36}$$

Add 152 and 135 to get 287.

$$\frac{287}{36}$$

Factor

$$\frac{7 \cdot 41}{2 ^ {2} \cdot 3 ^ {2}} = 7\frac{35}{36} = 7.972222222222222$$