Solve 71/7-21/9

$$7 \frac { 1 } { 7 } - 2 \frac { 1 } { 9 }$$

Evaluate

$$\frac{317}{63}\approx 5.031746032$$

Solution Steps

Multiply 7 and 7 to get 49.

$$\frac{49+1}{7}-\frac{2\times 9+1}{9}$$

Add 49 and 1 to get 50.

$$\frac{50}{7}-\frac{2\times 9+1}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{50}{7}-\frac{18+1}{9}$$

Add 18 and 1 to get 19.

$$\frac{50}{7}-\frac{19}{9}$$

Least common multiple of 7 and 9 is 63. Convert \frac{50}{7} and \frac{19}{9} to fractions with denominator 63.

$$\frac{450}{63}-\frac{133}{63}$$

Since \frac{450}{63} and \frac{133}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{450-133}{63}$$

Subtract 133 from 450 to get 317.

$$\frac{317}{63}$$

Factor

$$\frac{317}{3 ^ {2} \cdot 7} = 5\frac{2}{63} = 5.031746031746032$$