Solve 45/6+31/3+71/4

$$4 \frac { 5 } { 6 } + 3 \frac { 1 } { 3 } + 7 \frac { 1 } { 4 }$$

Evaluate

$$\frac{185}{12}\approx 15.416666667$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+5}{6}+\frac{3\times 3+1}{3}+\frac{7\times 4+1}{4}$$

Add 24 and 5 to get 29.

$$\frac{29}{6}+\frac{3\times 3+1}{3}+\frac{7\times 4+1}{4}$$

Multiply 3 and 3 to get 9.

$$\frac{29}{6}+\frac{9+1}{3}+\frac{7\times 4+1}{4}$$

Add 9 and 1 to get 10.

$$\frac{29}{6}+\frac{10}{3}+\frac{7\times 4+1}{4}$$

Least common multiple of 6 and 3 is 6. Convert \frac{29}{6} and \frac{10}{3} to fractions with denominator 6.

$$\frac{29}{6}+\frac{20}{6}+\frac{7\times 4+1}{4}$$

Since \frac{29}{6} and \frac{20}{6} have the same denominator, add them by adding their numerators.

$$\frac{29+20}{6}+\frac{7\times 4+1}{4}$$

Add 29 and 20 to get 49.

$$\frac{49}{6}+\frac{7\times 4+1}{4}$$

Multiply 7 and 4 to get 28.

$$\frac{49}{6}+\frac{28+1}{4}$$

Add 28 and 1 to get 29.

$$\frac{49}{6}+\frac{29}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{49}{6} and \frac{29}{4} to fractions with denominator 12.

$$\frac{98}{12}+\frac{87}{12}$$

Since \frac{98}{12} and \frac{87}{12} have the same denominator, add them by adding their numerators.

$$\frac{98+87}{12}$$

Add 98 and 87 to get 185.

$$\frac{185}{12}$$

Factor

$$\frac{5 \cdot 37}{2 ^ {2} \cdot 3} = 15\frac{5}{12} = 15.416666666666666$$