Solve 151/4-51/2+75/6

$$15 \frac { 1 } { 4 } - 5 \frac { 1 } { 2 } + 7 \frac { 5 } { 6 }$$

Evaluate

$$\frac{211}{12}\approx 17.583333333$$

Solution Steps

Multiply 15 and 4 to get 60.

$$\frac{60+1}{4}-\frac{5\times 2+1}{2}+\frac{7\times 6+5}{6}$$

Add 60 and 1 to get 61.

$$\frac{61}{4}-\frac{5\times 2+1}{2}+\frac{7\times 6+5}{6}$$

Multiply 5 and 2 to get 10.

$$\frac{61}{4}-\frac{10+1}{2}+\frac{7\times 6+5}{6}$$

Add 10 and 1 to get 11.

$$\frac{61}{4}-\frac{11}{2}+\frac{7\times 6+5}{6}$$

Least common multiple of 4 and 2 is 4. Convert \frac{61}{4} and \frac{11}{2} to fractions with denominator 4.

$$\frac{61}{4}-\frac{22}{4}+\frac{7\times 6+5}{6}$$

Since \frac{61}{4} and \frac{22}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{61-22}{4}+\frac{7\times 6+5}{6}$$

Subtract 22 from 61 to get 39.

$$\frac{39}{4}+\frac{7\times 6+5}{6}$$

Multiply 7 and 6 to get 42.

$$\frac{39}{4}+\frac{42+5}{6}$$

Add 42 and 5 to get 47.

$$\frac{39}{4}+\frac{47}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{39}{4} and \frac{47}{6} to fractions with denominator 12.

$$\frac{117}{12}+\frac{94}{12}$$

Since \frac{117}{12} and \frac{94}{12} have the same denominator, add them by adding their numerators.

$$\frac{117+94}{12}$$

Add 117 and 94 to get 211.

$$\frac{211}{12}$$

Factor

$$\frac{211}{2 ^ {2} \cdot 3} = 17\frac{7}{12} = 17.583333333333332$$