Solve 5/9+61/4

$$\frac { 5 } { 9 } + 6 \frac { 1 } { 4 }$$

Evaluate

$$\frac{245}{36}\approx 6.805555556$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{5}{9}+\frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{5}{9}+\frac{25}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{5}{9} and \frac{25}{4} to fractions with denominator 36.

$$\frac{20}{36}+\frac{225}{36}$$

Since \frac{20}{36} and \frac{225}{36} have the same denominator, add them by adding their numerators.

$$\frac{20+225}{36}$$

Add 20 and 225 to get 245.

$$\frac{245}{36}$$

Factor

$$\frac{5 \cdot 7 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 6\frac{29}{36} = 6.805555555555555$$