Solve 43/4+25/6

$$4 \frac { 3 } { 4 } + 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{91}{12}\approx 7.583333333$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+3}{4}+\frac{2\times 6+5}{6}$$

Add 16 and 3 to get 19.

$$\frac{19}{4}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{19}{4}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{19}{4}+\frac{17}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{19}{4} and \frac{17}{6} to fractions with denominator 12.

$$\frac{57}{12}+\frac{34}{12}$$

Since \frac{57}{12} and \frac{34}{12} have the same denominator, add them by adding their numerators.

$$\frac{57+34}{12}$$

Add 57 and 34 to get 91.

$$\frac{91}{12}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 3} = 7\frac{7}{12} = 7.583333333333333$$