Solve 1/4*5/6*1/3*16

$$\frac{ 1 }{ 4 } \times \frac{ 5 }{ 6 } \times \frac{ 1 }{ 3 } \times 16$$

Evaluate

$$\frac{10}{9}\approx 1.111111111$$

Solution Steps

Multiply \frac{1}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{4\times 6}\times \frac{1}{3}\times 16$$

Do the multiplications in the fraction \frac{1\times 5}{4\times 6}.

$$\frac{5}{24}\times \frac{1}{3}\times 16$$

Multiply \frac{5}{24} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{24\times 3}\times 16$$

Do the multiplications in the fraction \frac{5\times 1}{24\times 3}.

$$\frac{5}{72}\times 16$$

Express \frac{5}{72}\times 16 as a single fraction.

$$\frac{5\times 16}{72}$$

Multiply 5 and 16 to get 80.

$$\frac{80}{72}$$

Reduce the fraction \frac{80}{72} to lowest terms by extracting and canceling out 8.

$$\frac{10}{9}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$