Solve 13/4+31/9

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

Evaluate

$$\frac{175}{36}\approx 4.861111111$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

$$\frac{7}{4}+\frac{3\times 9+1}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{7}{4}+\frac{27+1}{9}$$

Add 27 and 1 to get 28.

$$\frac{7}{4}+\frac{28}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{7}{4} and \frac{28}{9} to fractions with denominator 36.

$$\frac{63}{36}+\frac{112}{36}$$

Since \frac{63}{36} and \frac{112}{36} have the same denominator, add them by adding their numerators.

$$\frac{63+112}{36}$$

Add 63 and 112 to get 175.

$$\frac{175}{36}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 ^ {2} \cdot 3 ^ {2}} = 4\frac{31}{36} = 4.861111111111111$$