Solve 27/4+16/9=

$$2 \frac { 7 } { 4 } + 1 \frac { 6 } { 9 } =$$

Evaluate

$$\frac{65}{12}\approx 5.416666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+7}{4}+\frac{1\times 9+6}{9}$$

Add 8 and 7 to get 15.

$$\frac{15}{4}+\frac{1\times 9+6}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{15}{4}+\frac{9+6}{9}$$

Add 9 and 6 to get 15.

$$\frac{15}{4}+\frac{15}{9}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{15}{4}+\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{15}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{45}{12}+\frac{20}{12}$$

Since \frac{45}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{45+20}{12}$$

Add 45 and 20 to get 65.

$$\frac{65}{12}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3} = 5\frac{5}{12} = 5.416666666666667$$