Solve 36/4+7/12+210/24=

$$3 \frac { 6 } { 4 } + \frac { 7 } { 12 } + 2 \frac { 10 } { 24 } =$$

Evaluate

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

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+6}{4}+\frac{7}{12}+\frac{2\times 24+10}{24}$$

Add 12 and 6 to get 18.

$$\frac{18}{4}+\frac{7}{12}+\frac{2\times 24+10}{24}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}+\frac{7}{12}+\frac{2\times 24+10}{24}$$

Least common multiple of 2 and 12 is 12. Convert \frac{9}{2} and \frac{7}{12} to fractions with denominator 12.

$$\frac{54}{12}+\frac{7}{12}+\frac{2\times 24+10}{24}$$

Since \frac{54}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$\frac{54+7}{12}+\frac{2\times 24+10}{24}$$

Add 54 and 7 to get 61.

$$\frac{61}{12}+\frac{2\times 24+10}{24}$$

Multiply 2 and 24 to get 48.

$$\frac{61}{12}+\frac{48+10}{24}$$

Add 48 and 10 to get 58.

$$\frac{61}{12}+\frac{58}{24}$$

Reduce the fraction \frac{58}{24} to lowest terms by extracting and canceling out 2.

$$\frac{61}{12}+\frac{29}{12}$$

Since \frac{61}{12} and \frac{29}{12} have the same denominator, add them by adding their numerators.

$$\frac{61+29}{12}$$

Add 61 and 29 to get 90.

$$\frac{90}{12}$$

Reduce the fraction \frac{90}{12} to lowest terms by extracting and canceling out 6.

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

Factor

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