Solve (4/9*2/1):4/7

$$( \frac { 4 } { 9 } \times \frac { 2 } { 1 } ) : \frac { 4 } { 7 }$$

Evaluate

$$\frac{14}{9}\approx 1.555555556$$

Solution Steps

Anything divided by one gives itself.

$$\frac{\frac{4}{9}\times 2}{\frac{4}{7}}$$

Express \frac{4}{9}\times 2 as a single fraction.

$$\frac{\frac{4\times 2}{9}}{\frac{4}{7}}$$

Multiply 4 and 2 to get 8.

$$\frac{\frac{8}{9}}{\frac{4}{7}}$$

Divide \frac{8}{9} by \frac{4}{7} by multiplying \frac{8}{9} by the reciprocal of \frac{4}{7}.

$$\frac{8}{9}\times \frac{7}{4}$$

Multiply \frac{8}{9} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{9\times 4}$$

Do the multiplications in the fraction \frac{8\times 7}{9\times 4}.

$$\frac{56}{36}$$

Reduce the fraction \frac{56}{36} to lowest terms by extracting and canceling out 4.

$$\frac{14}{9}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {2}} = 1\frac{5}{9} = 1.5555555555555556$$