Solve 14/7div23/4

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

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

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

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

Multiply 1 and 7 to get 7.

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

Add 7 and 4 to get 11.

$$\frac{11\times 4}{7\left(2\times 4+3\right)}$$

Multiply 11 and 4 to get 44.

$$\frac{44}{7\left(2\times 4+3\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{44}{7\left(8+3\right)}$$

Add 8 and 3 to get 11.

$$\frac{44}{7\times 11}$$

Multiply 7 and 11 to get 77.

$$\frac{44}{77}$$

Reduce the fraction \frac{44}{77} to lowest terms by extracting and canceling out 11.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$