Solve 53/4+81/3+25/6

$$5 \frac { 3 } { 4 } + 8 \frac { 1 } { 3 } + 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{203}{12}\approx 16.916666667$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}+\frac{8\times 3+1}{3}+\frac{2\times 6+5}{6}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}+\frac{8\times 3+1}{3}+\frac{2\times 6+5}{6}$$

Multiply 8 and 3 to get 24.

$$\frac{23}{4}+\frac{24+1}{3}+\frac{2\times 6+5}{6}$$

Add 24 and 1 to get 25.

$$\frac{23}{4}+\frac{25}{3}+\frac{2\times 6+5}{6}$$

Least common multiple of 4 and 3 is 12. Convert \frac{23}{4} and \frac{25}{3} to fractions with denominator 12.

$$\frac{69}{12}+\frac{100}{12}+\frac{2\times 6+5}{6}$$

Since \frac{69}{12} and \frac{100}{12} have the same denominator, add them by adding their numerators.

$$\frac{69+100}{12}+\frac{2\times 6+5}{6}$$

Add 69 and 100 to get 169.

$$\frac{169}{12}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{169}{12}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{169}{12}+\frac{17}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{169}{12} and \frac{17}{6} to fractions with denominator 12.

$$\frac{169}{12}+\frac{34}{12}$$

Since \frac{169}{12} and \frac{34}{12} have the same denominator, add them by adding their numerators.

$$\frac{169+34}{12}$$

Add 169 and 34 to get 203.

$$\frac{203}{12}$$

Factor

$$\frac{7 \cdot 29}{2 ^ {2} \cdot 3} = 16\frac{11}{12} = 16.916666666666668$$