Solve 51/7-35/6

$$5 \frac { 1 } { 7 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$\frac{55}{42}\approx 1.30952381$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+1}{7}-\frac{3\times 6+5}{6}$$

Add 35 and 1 to get 36.

$$\frac{36}{7}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{36}{7}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{36}{7}-\frac{23}{6}$$

Least common multiple of 7 and 6 is 42. Convert \frac{36}{7} and \frac{23}{6} to fractions with denominator 42.

$$\frac{216}{42}-\frac{161}{42}$$

Since \frac{216}{42} and \frac{161}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{216-161}{42}$$

Subtract 161 from 216 to get 55.

$$\frac{55}{42}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3 \cdot 7} = 1\frac{13}{42} = 1.3095238095238095$$