Solve 13/4+92/3

$$1 \frac { 3 } { 4 } + 9 \frac { 2 } { 3 }$$

Evaluate

$$\frac{137}{12}\approx 11.416666667$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}+\frac{9\times 3+2}{3}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}+\frac{9\times 3+2}{3}$$

Multiply 9 and 3 to get 27.

$$\frac{7}{4}+\frac{27+2}{3}$$

Add 27 and 2 to get 29.

$$\frac{7}{4}+\frac{29}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{29}{3} to fractions with denominator 12.

$$\frac{21}{12}+\frac{116}{12}$$

Since \frac{21}{12} and \frac{116}{12} have the same denominator, add them by adding their numerators.

$$\frac{21+116}{12}$$

Add 21 and 116 to get 137.

$$\frac{137}{12}$$

Factor

$$\frac{137}{2 ^ {2} \cdot 3} = 11\frac{5}{12} = 11.416666666666666$$