Solve 65/9+325/36

$$6 \frac { 5 } { 9 } + 3 \frac { 25 } { 36 }$$

Evaluate

$$\frac{41}{4}=10.25$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54+5}{9}+\frac{3\times 36+25}{36}$$

Add 54 and 5 to get 59.

$$\frac{59}{9}+\frac{3\times 36+25}{36}$$

Multiply 3 and 36 to get 108.

$$\frac{59}{9}+\frac{108+25}{36}$$

Add 108 and 25 to get 133.

$$\frac{59}{9}+\frac{133}{36}$$

Least common multiple of 9 and 36 is 36. Convert \frac{59}{9} and \frac{133}{36} to fractions with denominator 36.

$$\frac{236}{36}+\frac{133}{36}$$

Since \frac{236}{36} and \frac{133}{36} have the same denominator, add them by adding their numerators.

$$\frac{236+133}{36}$$

Add 236 and 133 to get 369.

$$\frac{369}{36}$$

Reduce the fraction \frac{369}{36} to lowest terms by extracting and canceling out 9.

$$\frac{41}{4}$$

Factor

$$\frac{41}{2 ^ {2}} = 10\frac{1}{4} = 10.25$$