Solve 6/3frac{2{4}}

$$\frac { 6 } { 3 \frac { 2 } { 4 } }$$

Evaluate

$$\frac{12}{7}\approx 1.714285714$$

Solution Steps

Divide 6 by \frac{3\times 4+2}{4} by multiplying 6 by the reciprocal of \frac{3\times 4+2}{4}.

$$\frac{6\times 4}{3\times 4+2}$$

Multiply 6 and 4 to get 24.

$$\frac{24}{3\times 4+2}$$

Multiply 3 and 4 to get 12.

$$\frac{24}{12+2}$$

Add 12 and 2 to get 14.

$$\frac{24}{14}$$

Reduce the fraction \frac{24}{14} to lowest terms by extracting and canceling out 2.

$$\frac{12}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{7} = 1\frac{5}{7} = 1.7142857142857142$$