Solve 24/9-13/7=

$$2 \frac { 4 } { 9 } - 1 \frac { 3 } { 7 } =$$

Evaluate

$$\frac{64}{63}\approx 1.015873016$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+4}{9}-\frac{1\times 7+3}{7}$$

Add 18 and 4 to get 22.

$$\frac{22}{9}-\frac{1\times 7+3}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{22}{9}-\frac{7+3}{7}$$

Add 7 and 3 to get 10.

$$\frac{22}{9}-\frac{10}{7}$$

Least common multiple of 9 and 7 is 63. Convert \frac{22}{9} and \frac{10}{7} to fractions with denominator 63.

$$\frac{154}{63}-\frac{90}{63}$$

Since \frac{154}{63} and \frac{90}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{154-90}{63}$$

Subtract 90 from 154 to get 64.

$$\frac{64}{63}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {2} \cdot 7} = 1\frac{1}{63} = 1.0158730158730158$$