Solve (5/4*13/8):20/3

$$( \frac { 5 } { 4 } \times \frac { 13 } { 8 } ) : \frac { 20 } { 3 }$$

Evaluate

$$\frac{39}{128}=0.3046875$$

Solution Steps

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

$$\frac{\frac{5\times 13}{4\times 8}}{\frac{20}{3}}$$

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

$$\frac{\frac{65}{32}}{\frac{20}{3}}$$

Divide \frac{65}{32} by \frac{20}{3} by multiplying \frac{65}{32} by the reciprocal of \frac{20}{3}.

$$\frac{65}{32}\times \frac{3}{20}$$

Multiply \frac{65}{32} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 3}{32\times 20}$$

Do the multiplications in the fraction \frac{65\times 3}{32\times 20}.

$$\frac{195}{640}$$

Reduce the fraction \frac{195}{640} to lowest terms by extracting and canceling out 5.

$$\frac{39}{128}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {7}} = 0.3046875$$