Solve 4/7*(2/3*7/4)

$$\frac { 4 } { 7 } \cdot ( \frac { 2 } { 3 } \cdot \frac { 7 } { 4 } )$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply \frac{4}{7} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 2}{7\times 3}\times \frac{7}{4}$$

Do the multiplications in the fraction \frac{4\times 2}{7\times 3}.

$$\frac{8}{21}\times \frac{7}{4}$$

Multiply \frac{8}{21} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{21\times 4}$$

Do the multiplications in the fraction \frac{8\times 7}{21\times 4}.

$$\frac{56}{84}$$

Reduce the fraction \frac{56}{84} to lowest terms by extracting and canceling out 28.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$