Solve 5/2{frac{5/3}}

$$\frac{ 5 }{ \frac{ 2 }{ \frac{ 5 }{ } 3 } }$$

Evaluate

$$\frac{75}{2}=37.5$$

Solution Steps

Divide 5 by \frac{2}{\frac{5}{1}\times 3} by multiplying 5 by the reciprocal of \frac{2}{\frac{5}{1}\times 3}.

$$\frac{5\times \frac{5}{1}\times 3}{2}$$

Anything divided by one gives itself.

$$\frac{5\times 5\times 3}{2}$$

Multiply 5 and 5 to get 25.

$$\frac{25\times 3}{2}$$

Multiply 25 and 3 to get 75.

$$\frac{75}{2}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2} = 37\frac{1}{2} = 37.5$$