Solve 51/4+25/6

$$5 \frac { 1 } { 4 } + 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{97}{12}\approx 8.083333333$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4}+\frac{2\times 6+5}{6}$$

Add 20 and 1 to get 21.

$$\frac{21}{4}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{21}{4}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{21}{4}+\frac{17}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{21}{4} and \frac{17}{6} to fractions with denominator 12.

$$\frac{63}{12}+\frac{34}{12}$$

Since \frac{63}{12} and \frac{34}{12} have the same denominator, add them by adding their numerators.

$$\frac{63+34}{12}$$

Add 63 and 34 to get 97.

$$\frac{97}{12}$$

Factor

$$\frac{97}{2 ^ {2} \cdot 3} = 8\frac{1}{12} = 8.083333333333334$$