Solve (1/2div4/5)*4/7

$$( \frac { 1 } { 2 } \div \frac { 4 } { 5 } ) \times \frac { 4 } { 7 }$$

Evaluate

$$\frac{5}{14}\approx 0.357142857$$

Solution Steps

Divide \frac{1}{2} by \frac{4}{5} by multiplying \frac{1}{2} by the reciprocal of \frac{4}{5}.

$$\frac{1}{2}\times \frac{5}{4}\times \frac{4}{7}$$

Multiply \frac{1}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{2\times 4}\times \frac{4}{7}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 4}.

$$\frac{5}{8}\times \frac{4}{7}$$

Multiply \frac{5}{8} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{8\times 7}$$

Do the multiplications in the fraction \frac{5\times 4}{8\times 7}.

$$\frac{20}{56}$$

Reduce the fraction \frac{20}{56} to lowest terms by extracting and canceling out 4.

$$\frac{5}{14}$$

Factor

$$\frac{5}{2 \cdot 7} = 0.35714285714285715$$