Solve 15/9+31/4

$$1 \frac{ 5 }{ 9 } +3 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{173}{36}\approx 4.805555556$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+5}{9}+\frac{3\times 4+1}{4}$$

Add 9 and 5 to get 14.

$$\frac{14}{9}+\frac{3\times 4+1}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{14}{9}+\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{14}{9}+\frac{13}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{14}{9} and \frac{13}{4} to fractions with denominator 36.

$$\frac{56}{36}+\frac{117}{36}$$

Since \frac{56}{36} and \frac{117}{36} have the same denominator, add them by adding their numerators.

$$\frac{56+117}{36}$$

Add 56 and 117 to get 173.

$$\frac{173}{36}$$

Factor

$$\frac{173}{2 ^ {2} \cdot 3 ^ {2}} = 4\frac{29}{36} = 4.805555555555555$$