Solve 305/6+21/7=

$$30 \frac{ 5 }{ 6 } +2 \frac{ 1 }{ 7 } =$$

Evaluate

$$\frac{1385}{42}\approx 32.976190476$$

Solution Steps

Multiply 30 and 6 to get 180.

$$\frac{180+5}{6}+\frac{2\times 7+1}{7}$$

Add 180 and 5 to get 185.

$$\frac{185}{6}+\frac{2\times 7+1}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{185}{6}+\frac{14+1}{7}$$

Add 14 and 1 to get 15.

$$\frac{185}{6}+\frac{15}{7}$$

Least common multiple of 6 and 7 is 42. Convert \frac{185}{6} and \frac{15}{7} to fractions with denominator 42.

$$\frac{1295}{42}+\frac{90}{42}$$

Since \frac{1295}{42} and \frac{90}{42} have the same denominator, add them by adding their numerators.

$$\frac{1295+90}{42}$$

Add 1295 and 90 to get 1385.

$$\frac{1385}{42}$$

Factor

$$\frac{5 \cdot 277}{2 \cdot 3 \cdot 7} = 32\frac{41}{42} = 32.976190476190474$$