Solve 6frac{1/2/3frac{1{4}}}{1/45/8}

$$\frac { \frac { 6 \frac { 1 } { 2 } } { 3 \frac { 1 } { 4 } } } { \frac { 1 } { 4 } \frac { 5 } { 8 } }$$

Evaluate

$$\frac{64}{5}=12.8$$

Solution Steps

Divide \frac{6\times 2+1}{2} by \frac{3\times 4+1}{4} by multiplying \frac{6\times 2+1}{2} by the reciprocal of \frac{3\times 4+1}{4}.

$$\frac{\frac{\left(6\times 2+1\right)\times 4}{2\left(3\times 4+1\right)}}{\frac{1}{4}\times \frac{5}{8}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{2\left(1+2\times 6\right)}{1+3\times 4}}{\frac{1}{4}\times \frac{5}{8}}$$

Multiply 2 and 6 to get 12.

$$\frac{\frac{2\left(1+12\right)}{1+3\times 4}}{\frac{1}{4}\times \frac{5}{8}}$$

Add 1 and 12 to get 13.

$$\frac{\frac{2\times 13}{1+3\times 4}}{\frac{1}{4}\times \frac{5}{8}}$$

Multiply 2 and 13 to get 26.

$$\frac{\frac{26}{1+3\times 4}}{\frac{1}{4}\times \frac{5}{8}}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{26}{1+12}}{\frac{1}{4}\times \frac{5}{8}}$$

Add 1 and 12 to get 13.

$$\frac{\frac{26}{13}}{\frac{1}{4}\times \frac{5}{8}}$$

Divide 26 by 13 to get 2.

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

Multiply \frac{1}{4} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 5}{4\times 8}.

$$\frac{2}{\frac{5}{32}}$$

Divide 2 by \frac{5}{32} by multiplying 2 by the reciprocal of \frac{5}{32}.

$$2\times \frac{32}{5}$$

Express 2\times \frac{32}{5} as a single fraction.

$$\frac{2\times 32}{5}$$

Multiply 2 and 32 to get 64.

$$\frac{64}{5}$$

Factor

$$\frac{2 ^ {6}}{5} = 12\frac{4}{5} = 12.8$$