Solve 24/5+13/6

$$2 \frac { 4 } { 5 } + 1 \frac { 3 } { 6 }$$

Evaluate

$$\frac{43}{10}=4.3$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+4}{5}+\frac{1\times 6+3}{6}$$

Add 10 and 4 to get 14.

$$\frac{14}{5}+\frac{1\times 6+3}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{14}{5}+\frac{6+3}{6}$$

Add 6 and 3 to get 9.

$$\frac{14}{5}+\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{14}{5}+\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{14}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{28}{10}+\frac{15}{10}$$

Since \frac{28}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$\frac{28+15}{10}$$

Add 28 and 15 to get 43.

$$\frac{43}{10}$$

Factor

$$\frac{43}{2 \cdot 5} = 4\frac{3}{10} = 4.3$$