Solve 71/6-46/7

$$7 \frac { 1 } { 6 } - 4 \frac { 6 } { 7 }$$

Evaluate

$$\frac{97}{42}\approx 2.30952381$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\frac{42+1}{6}-\frac{4\times 7+6}{7}$$

Add 42 and 1 to get 43.

$$\frac{43}{6}-\frac{4\times 7+6}{7}$$

Multiply 4 and 7 to get 28.

$$\frac{43}{6}-\frac{28+6}{7}$$

Add 28 and 6 to get 34.

$$\frac{43}{6}-\frac{34}{7}$$

Least common multiple of 6 and 7 is 42. Convert \frac{43}{6} and \frac{34}{7} to fractions with denominator 42.

$$\frac{301}{42}-\frac{204}{42}$$

Since \frac{301}{42} and \frac{204}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{301-204}{42}$$

Subtract 204 from 301 to get 97.

$$\frac{97}{42}$$

Factor

$$\frac{97}{2 \cdot 3 \cdot 7} = 2\frac{13}{42} = 2.3095238095238093$$