Solve 21/12div11/3=

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

Evaluate

$$\frac{25}{16}=1.5625$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

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

Multiply 2 and 12 to get 24.

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

Add 1 and 24 to get 25.

$$\frac{25}{4\left(1+3\right)}$$

Add 1 and 3 to get 4.

$$\frac{25}{4\times 4}$$

Multiply 4 and 4 to get 16.

$$\frac{25}{16}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$