Solve 51/9-14/9=

$$5 \frac { 1 } { 9 } - 1 \frac { 4 } { 9 } =$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+1}{9}-\frac{1\times 9+4}{9}$$

Add 45 and 1 to get 46.

$$\frac{46}{9}-\frac{1\times 9+4}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{46}{9}-\frac{9+4}{9}$$

Add 9 and 4 to get 13.

$$\frac{46}{9}-\frac{13}{9}$$

Since \frac{46}{9} and \frac{13}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-13}{9}$$

Subtract 13 from 46 to get 33.

$$\frac{33}{9}$$

Reduce the fraction \frac{33}{9} to lowest terms by extracting and canceling out 3.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$