Solve 93/7-91/3

$$9 \frac { 3 } { 7 } - 9 \frac { 1 } { 3 }$$

Evaluate

$$\frac{2}{21}\approx 0.095238095$$

Solution Steps

Multiply 9 and 7 to get 63.

$$\frac{63+3}{7}-\frac{9\times 3+1}{3}$$

Add 63 and 3 to get 66.

$$\frac{66}{7}-\frac{9\times 3+1}{3}$$

Multiply 9 and 3 to get 27.

$$\frac{66}{7}-\frac{27+1}{3}$$

Add 27 and 1 to get 28.

$$\frac{66}{7}-\frac{28}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{66}{7} and \frac{28}{3} to fractions with denominator 21.

$$\frac{198}{21}-\frac{196}{21}$$

Since \frac{198}{21} and \frac{196}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{198-196}{21}$$

Subtract 196 from 198 to get 2.

$$\frac{2}{21}$$

Factor

$$\frac{2}{3 \cdot 7} = 0.09523809523809523$$