Solve 85/5+72/4+127/12

$$8 \frac { 5 } { 5 } + 7 \frac { 2 } { 4 } + 12 \frac { 7 } { 12 }$$

Evaluate

$$\frac{349}{12}\approx 29.083333333$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+5}{5}+\frac{7\times 4+2}{4}+\frac{12\times 12+7}{12}$$

Add 40 and 5 to get 45.

$$\frac{45}{5}+\frac{7\times 4+2}{4}+\frac{12\times 12+7}{12}$$

Divide 45 by 5 to get 9.

$$9+\frac{7\times 4+2}{4}+\frac{12\times 12+7}{12}$$

Multiply 7 and 4 to get 28.

$$9+\frac{28+2}{4}+\frac{12\times 12+7}{12}$$

Add 28 and 2 to get 30.

$$9+\frac{30}{4}+\frac{12\times 12+7}{12}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$9+\frac{15}{2}+\frac{12\times 12+7}{12}$$

Convert 9 to fraction \frac{18}{2}.

$$\frac{18}{2}+\frac{15}{2}+\frac{12\times 12+7}{12}$$

Since \frac{18}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$\frac{18+15}{2}+\frac{12\times 12+7}{12}$$

Add 18 and 15 to get 33.

$$\frac{33}{2}+\frac{12\times 12+7}{12}$$

Multiply 12 and 12 to get 144.

$$\frac{33}{2}+\frac{144+7}{12}$$

Add 144 and 7 to get 151.

$$\frac{33}{2}+\frac{151}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{33}{2} and \frac{151}{12} to fractions with denominator 12.

$$\frac{198}{12}+\frac{151}{12}$$

Since \frac{198}{12} and \frac{151}{12} have the same denominator, add them by adding their numerators.

$$\frac{198+151}{12}$$

Add 198 and 151 to get 349.

$$\frac{349}{12}$$

Factor

$$\frac{349}{2 ^ {2} \cdot 3} = 29\frac{1}{12} = 29.083333333333332$$