Solve 101/18+33/4

$$10 \frac { 1 } { 18 } + 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{497}{36}\approx 13.805555556$$

Solution Steps

Multiply 10 and 18 to get 180.

$$\frac{180+1}{18}+\frac{3\times 4+3}{4}$$

Add 180 and 1 to get 181.

$$\frac{181}{18}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{181}{18}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{181}{18}+\frac{15}{4}$$

Least common multiple of 18 and 4 is 36. Convert \frac{181}{18} and \frac{15}{4} to fractions with denominator 36.

$$\frac{362}{36}+\frac{135}{36}$$

Since \frac{362}{36} and \frac{135}{36} have the same denominator, add them by adding their numerators.

$$\frac{362+135}{36}$$

Add 362 and 135 to get 497.

$$\frac{497}{36}$$

Factor

$$\frac{7 \cdot 71}{2 ^ {2} \cdot 3 ^ {2}} = 13\frac{29}{36} = 13.805555555555555$$