Solve 42/3+25/6

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

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}+\frac{2\times 6+5}{6}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{14}{3}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{14}{3}+\frac{17}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{14}{3} and \frac{17}{6} to fractions with denominator 6.

$$\frac{28}{6}+\frac{17}{6}$$

Since \frac{28}{6} and \frac{17}{6} have the same denominator, add them by adding their numerators.

$$\frac{28+17}{6}$$

Add 28 and 17 to get 45.

$$\frac{45}{6}$$

Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$