Solve 0.9/2frac{2{5}}

$$\frac{ 0.9 }{ 2 \frac{ 2 }{ 5 } }$$

Evaluate

$$0.375$$

Solution Steps

Divide 0.9 by \frac{2\times 5+2}{5} by multiplying 0.9 by the reciprocal of \frac{2\times 5+2}{5}.

$$\frac{0.9\times 5}{2\times 5+2}$$

Multiply 0.9 and 5 to get 4.5.

$$\frac{4.5}{2\times 5+2}$$

Multiply 2 and 5 to get 10.

$$\frac{4.5}{10+2}$$

Add 10 and 2 to get 12.

$$\frac{4.5}{12}$$

Expand \frac{4.5}{12} by multiplying both numerator and the denominator by 10.

$$\frac{45}{120}$$

Reduce the fraction \frac{45}{120} to lowest terms by extracting and canceling out 15.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$