Solve 103/9-78/9=

$$10 \frac { 3 } { 9 } - 7 \frac { 8 } { 9 } =$$

Evaluate

$$\frac{22}{9}\approx 2.444444444$$

Solution Steps

Multiply 10 and 9 to get 90.

$$\frac{90+3}{9}-\frac{7\times 9+8}{9}$$

Add 90 and 3 to get 93.

$$\frac{93}{9}-\frac{7\times 9+8}{9}$$

Reduce the fraction \frac{93}{9} to lowest terms by extracting and canceling out 3.

$$\frac{31}{3}-\frac{7\times 9+8}{9}$$

Multiply 7 and 9 to get 63.

$$\frac{31}{3}-\frac{63+8}{9}$$

Add 63 and 8 to get 71.

$$\frac{31}{3}-\frac{71}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{31}{3} and \frac{71}{9} to fractions with denominator 9.

$$\frac{93}{9}-\frac{71}{9}$$

Since \frac{93}{9} and \frac{71}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-71}{9}$$

Subtract 71 from 93 to get 22.

$$\frac{22}{9}$$

Factor

$$\frac{2 \cdot 11}{3 ^ {2}} = 2\frac{4}{9} = 2.4444444444444446$$