Solve (5/4*13/8):25/8

$$( \frac { 5 } { 4 } \times \frac { 13 } { 8 } ) : \frac { 25 } { 8 }$$

Evaluate

$$\frac{13}{20}=0.65$$

Solution Steps

Multiply \frac{5}{4} times \frac{13}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 13}{4\times 8}}{\frac{25}{8}}$$

Do the multiplications in the fraction \frac{5\times 13}{4\times 8}.

$$\frac{\frac{65}{32}}{\frac{25}{8}}$$

Divide \frac{65}{32} by \frac{25}{8} by multiplying \frac{65}{32} by the reciprocal of \frac{25}{8}.

$$\frac{65}{32}\times \frac{8}{25}$$

Multiply \frac{65}{32} times \frac{8}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 8}{32\times 25}$$

Do the multiplications in the fraction \frac{65\times 8}{32\times 25}.

$$\frac{520}{800}$$

Reduce the fraction \frac{520}{800} to lowest terms by extracting and canceling out 40.

$$\frac{13}{20}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 5} = 0.65$$