Solve 12/4div71/3

$$1 \frac { 2 } { 4 } \div 7 \frac { 1 } { 3 }$$

Evaluate

$$\frac{9}{44}\approx 0.204545455$$

Solution Steps

Divide \frac{1\times 4+2}{4} by \frac{7\times 3+1}{3} by multiplying \frac{1\times 4+2}{4} by the reciprocal of \frac{7\times 3+1}{3}.

$$\frac{\left(1\times 4+2\right)\times 3}{4\left(7\times 3+1\right)}$$

Multiply 1 and 4 to get 4.

$$\frac{\left(4+2\right)\times 3}{4\left(7\times 3+1\right)}$$

Add 4 and 2 to get 6.

$$\frac{6\times 3}{4\left(7\times 3+1\right)}$$

Multiply 6 and 3 to get 18.

$$\frac{18}{4\left(7\times 3+1\right)}$$

Multiply 7 and 3 to get 21.

$$\frac{18}{4\left(21+1\right)}$$

Add 21 and 1 to get 22.

$$\frac{18}{4\times 22}$$

Multiply 4 and 22 to get 88.

$$\frac{18}{88}$$

Reduce the fraction \frac{18}{88} to lowest terms by extracting and canceling out 2.

$$\frac{9}{44}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 11} = 0.20454545454545456$$