Solve 15/9+13/4=

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

Evaluate

$$\frac{119}{36}\approx 3.305555556$$

Solution Steps

Multiply 1 and 9 to get 9.

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

Add 9 and 5 to get 14.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

$$\frac{14}{9}+\frac{7}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{14}{9} and \frac{7}{4} to fractions with denominator 36.

$$\frac{56}{36}+\frac{63}{36}$$

Since \frac{56}{36} and \frac{63}{36} have the same denominator, add them by adding their numerators.

$$\frac{56+63}{36}$$

Add 56 and 63 to get 119.

$$\frac{119}{36}$$

Factor

$$\frac{7 \cdot 17}{2 ^ {2} \cdot 3 ^ {2}} = 3\frac{11}{36} = 3.3055555555555554$$