Solve 5/6*3/8*3/5*16/3

$$\frac{ 5 }{ 6 } \times \frac{ 3 }{ 8 } \times \frac{ 3 }{ 5 } \times \frac{ 16 }{ 3 }$$

Evaluate

$$1$$

Solution Steps

Multiply \frac{5}{6} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 8}\times \frac{3}{5}\times \frac{16}{3}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 8}.

$$\frac{15}{48}\times \frac{3}{5}\times \frac{16}{3}$$

Reduce the fraction \frac{15}{48} to lowest terms by extracting and canceling out 3.

$$\frac{5}{16}\times \frac{3}{5}\times \frac{16}{3}$$

Multiply \frac{5}{16} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{16\times 5}\times \frac{16}{3}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{16}\times \frac{16}{3}$$

Cancel out \frac{3}{16} and its reciprocal \frac{16}{3}.

$$1$$

Factor

$$1$$