Solve 4/5div16/35*8/15

$$\frac { 4 } { 5 } \div \frac { 16 } { 35 } \times \frac { 8 } { 15 }$$

Evaluate

$$\frac{14}{15}\approx 0.933333333$$

Solution Steps

Divide \frac{4}{5} by \frac{16}{35} by multiplying \frac{4}{5} by the reciprocal of \frac{16}{35}.

$$\frac{4}{5}\times \frac{35}{16}\times \frac{8}{15}$$

Multiply \frac{4}{5} times \frac{35}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 35}{5\times 16}\times \frac{8}{15}$$

Do the multiplications in the fraction \frac{4\times 35}{5\times 16}.

$$\frac{140}{80}\times \frac{8}{15}$$

Reduce the fraction \frac{140}{80} to lowest terms by extracting and canceling out 20.

$$\frac{7}{4}\times \frac{8}{15}$$

Multiply \frac{7}{4} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 8}{4\times 15}$$

Do the multiplications in the fraction \frac{7\times 8}{4\times 15}.

$$\frac{56}{60}$$

Reduce the fraction \frac{56}{60} to lowest terms by extracting and canceling out 4.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$