Solve 42/3+23/4+15/6

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

Evaluate

$$\frac{37}{4}=9.25$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}+\frac{2\times 4+3}{4}+\frac{1\times 6+5}{6}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}+\frac{2\times 4+3}{4}+\frac{1\times 6+5}{6}$$

Multiply 2 and 4 to get 8.

$$\frac{14}{3}+\frac{8+3}{4}+\frac{1\times 6+5}{6}$$

Add 8 and 3 to get 11.

$$\frac{14}{3}+\frac{11}{4}+\frac{1\times 6+5}{6}$$

Least common multiple of 3 and 4 is 12. Convert \frac{14}{3} and \frac{11}{4} to fractions with denominator 12.

$$\frac{56}{12}+\frac{33}{12}+\frac{1\times 6+5}{6}$$

Since \frac{56}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.

$$\frac{56+33}{12}+\frac{1\times 6+5}{6}$$

Add 56 and 33 to get 89.

$$\frac{89}{12}+\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{89}{12}+\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{89}{12}+\frac{11}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{89}{12} and \frac{11}{6} to fractions with denominator 12.

$$\frac{89}{12}+\frac{22}{12}$$

Since \frac{89}{12} and \frac{22}{12} have the same denominator, add them by adding their numerators.

$$\frac{89+22}{12}$$

Add 89 and 22 to get 111.

$$\frac{111}{12}$$

Reduce the fraction \frac{111}{12} to lowest terms by extracting and canceling out 3.

$$\frac{37}{4}$$

Factor

$$\frac{37}{2 ^ {2}} = 9\frac{1}{4} = 9.25$$