Solve (4/9*5/3):4/7

$$( \frac { 4 } { 9 } \times \frac { 5 } { 3 } ) : \frac { 4 } { 7 }$$

Evaluate

$$\frac{35}{27}\approx 1.296296296$$

Solution Steps

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

$$\frac{\frac{4\times 5}{9\times 3}}{\frac{4}{7}}$$

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

$$\frac{\frac{20}{27}}{\frac{4}{7}}$$

Divide \frac{20}{27} by \frac{4}{7} by multiplying \frac{20}{27} by the reciprocal of \frac{4}{7}.

$$\frac{20}{27}\times \frac{7}{4}$$

Multiply \frac{20}{27} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 7}{27\times 4}$$

Do the multiplications in the fraction \frac{20\times 7}{27\times 4}.

$$\frac{140}{108}$$

Reduce the fraction \frac{140}{108} to lowest terms by extracting and canceling out 4.

$$\frac{35}{27}$$

Factor

$$\frac{5 \cdot 7}{3 ^ {3}} = 1\frac{8}{27} = 1.2962962962962963$$