Solve 12/((12/6)+(12/8))

$$12 / ( ( 12 / 6 ) + ( 12 / 8 ) )$$

Evaluate

$$\frac{24}{7}\approx 3.428571429$$

Solution Steps

Divide 12 by 6 to get 2.

$$\frac{12}{2+\frac{12}{8}}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{12}{2+\frac{3}{2}}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{12}{\frac{4}{2}+\frac{3}{2}}$$

Since \frac{4}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{12}{\frac{4+3}{2}}$$

Add 4 and 3 to get 7.

$$\frac{12}{\frac{7}{2}}$$

Divide 12 by \frac{7}{2} by multiplying 12 by the reciprocal of \frac{7}{2}.

$$12\times \frac{2}{7}$$

Express 12\times \frac{2}{7} as a single fraction.

$$\frac{12\times 2}{7}$$

Multiply 12 and 2 to get 24.

$$\frac{24}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{7} = 3\frac{3}{7} = 3.4285714285714284$$