Solve 8/5*4/frac{5{6}}

$$\frac{ 8 }{ 5 } \times \frac{ 4 }{ \frac{ 5 }{ 6 } }$$

Evaluate

$$\frac{192}{25}=7.68$$

Solution Steps

Divide 4 by \frac{5}{6} by multiplying 4 by the reciprocal of \frac{5}{6}.

$$\frac{8}{5}\times 4\times \frac{6}{5}$$

Express 4\times \frac{6}{5} as a single fraction.

$$\frac{8}{5}\times \frac{4\times 6}{5}$$

Multiply 4 and 6 to get 24.

$$\frac{8}{5}\times \frac{24}{5}$$

Multiply \frac{8}{5} times \frac{24}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 24}{5\times 5}$$

Do the multiplications in the fraction \frac{8\times 24}{5\times 5}.

$$\frac{192}{25}$$

Factor

$$\frac{2 ^ {6} \cdot 3}{5 ^ {2}} = 7\frac{17}{25} = 7.68$$