Solve 2/2/frac{4{2}}12/2/frac{5{8}}

$$\frac { \frac { 2 } { 2 } } { \frac { 4 } { 2 } } \frac { \frac { 12 } { 2 } } { \frac { 5 } { 8 } }$$

Evaluate

$$\frac{24}{5}=4.8$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1}{\frac{4}{2}}\times \frac{\frac{12}{2}}{\frac{5}{8}}$$

Divide 1 by \frac{4}{2} by multiplying 1 by the reciprocal of \frac{4}{2}.

$$\frac{2}{4}\times \frac{\frac{12}{2}}{\frac{5}{8}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{\frac{12}{2}}{\frac{5}{8}}$$

Divide \frac{12}{2} by \frac{5}{8} by multiplying \frac{12}{2} by the reciprocal of \frac{5}{8}.

$$\frac{1}{2}\times \frac{12\times 8}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{2}\times \frac{6\times 8}{5}$$

Multiply 6 and 8 to get 48.

$$\frac{1}{2}\times \frac{48}{5}$$

Multiply \frac{1}{2} times \frac{48}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 48}{2\times 5}$$

Do the multiplications in the fraction \frac{1\times 48}{2\times 5}.

$$\frac{48}{10}$$

Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{24}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5} = 4\frac{4}{5} = 4.8$$