Solve 21/12div33/4

$$2 \frac { 1 } { 12 } \div 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Divide \frac{2\times 12+1}{12} by \frac{3\times 4+3}{4} by multiplying \frac{2\times 12+1}{12} by the reciprocal of \frac{3\times 4+3}{4}.

$$\frac{\left(2\times 12+1\right)\times 4}{12\left(3\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{1+2\times 12}{3\left(3+3\times 4\right)}$$

Multiply 2 and 12 to get 24.

$$\frac{1+24}{3\left(3+3\times 4\right)}$$

Add 1 and 24 to get 25.

$$\frac{25}{3\left(3+3\times 4\right)}$$

Multiply 3 and 4 to get 12.

$$\frac{25}{3\left(3+12\right)}$$

Add 3 and 12 to get 15.

$$\frac{25}{3\times 15}$$

Multiply 3 and 15 to get 45.

$$\frac{25}{45}$$

Reduce the fraction \frac{25}{45} to lowest terms by extracting and canceling out 5.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$