Solve (4/9*5/3):13/4

$$( \frac { 4 } { 9 } \times \frac { 5 } { 3 } ) : \frac { 13 } { 4 }$$

Evaluate

$$\frac{80}{351}\approx 0.227920228$$

Solution Steps

Multiply \frac{4}{9} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 5}{9\times 3}}{\frac{13}{4}}$$

Do the multiplications in the fraction \frac{4\times 5}{9\times 3}.

$$\frac{\frac{20}{27}}{\frac{13}{4}}$$

Divide \frac{20}{27} by \frac{13}{4} by multiplying \frac{20}{27} by the reciprocal of \frac{13}{4}.

$$\frac{20}{27}\times \frac{4}{13}$$

Multiply \frac{20}{27} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 4}{27\times 13}$$

Do the multiplications in the fraction \frac{20\times 4}{27\times 13}.

$$\frac{80}{351}$$

Factor

$$\frac{2 ^ {4} \cdot 5}{3 ^ {3} \cdot 13} = 0.22792022792022792$$