Solve 61/6-22/7=

$$6 \frac { 1 } { 6 } - 2 \frac { 2 } { 7 } =$$

Evaluate

$$\frac{163}{42}\approx 3.880952381$$

Solution Steps

Multiply 6 and 6 to get 36.

$$\frac{36+1}{6}-\frac{2\times 7+2}{7}$$

Add 36 and 1 to get 37.

$$\frac{37}{6}-\frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{37}{6}-\frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{37}{6}-\frac{16}{7}$$

Least common multiple of 6 and 7 is 42. Convert \frac{37}{6} and \frac{16}{7} to fractions with denominator 42.

$$\frac{259}{42}-\frac{96}{42}$$

Since \frac{259}{42} and \frac{96}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{259-96}{42}$$

Subtract 96 from 259 to get 163.

$$\frac{163}{42}$$

Factor

$$\frac{163}{2 \cdot 3 \cdot 7} = 3\frac{37}{42} = 3.880952380952381$$