Solve 55/9div22/3

$$5 \frac { 5 } { 9 } \div 2 \frac { 2 } { 3 }$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Divide \frac{5\times 9+5}{9} by \frac{2\times 3+2}{3} by multiplying \frac{5\times 9+5}{9} by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{\left(5\times 9+5\right)\times 3}{9\left(2\times 3+2\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5+5\times 9}{3\left(2+2\times 3\right)}$$

Multiply 5 and 9 to get 45.

$$\frac{5+45}{3\left(2+2\times 3\right)}$$

Add 5 and 45 to get 50.

$$\frac{50}{3\left(2+2\times 3\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{50}{3\left(2+6\right)}$$

Add 2 and 6 to get 8.

$$\frac{50}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{50}{24}$$

Reduce the fraction \frac{50}{24} to lowest terms by extracting and canceling out 2.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$