Solve 1212/12div123/3

$$12 \frac { 12 } { 12 } \div 12 \frac { 3 } { 3 }$$

Evaluate

$$1$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

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

Multiply 12 and 12 to get 144.

$$\frac{12+144}{4\left(3+3\times 12\right)}$$

Add 12 and 144 to get 156.

$$\frac{156}{4\left(3+3\times 12\right)}$$

Multiply 3 and 12 to get 36.

$$\frac{156}{4\left(3+36\right)}$$

Add 3 and 36 to get 39.

$$\frac{156}{4\times 39}$$

Multiply 4 and 39 to get 156.

$$\frac{156}{156}$$

Divide 156 by 156 to get 1.

$$1$$

Factor

$$1$$