Solve 51/2*31/3*1/6=

$$5 \frac { 1 } { 2 } \times 3 \frac { 1 } { 3 } \times \frac { 1 } { 6 } =$$

Evaluate

$$\frac{55}{18}\approx 3.055555556$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}\times \frac{3\times 3+1}{3}\times \frac{1}{6}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}\times \frac{3\times 3+1}{3}\times \frac{1}{6}$$

Multiply 3 and 3 to get 9.

$$\frac{11}{2}\times \frac{9+1}{3}\times \frac{1}{6}$$

Add 9 and 1 to get 10.

$$\frac{11}{2}\times \frac{10}{3}\times \frac{1}{6}$$

Multiply \frac{11}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 10}{2\times 3}\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{11\times 10}{2\times 3}.

$$\frac{110}{6}\times \frac{1}{6}$$

Reduce the fraction \frac{110}{6} to lowest terms by extracting and canceling out 2.

$$\frac{55}{3}\times \frac{1}{6}$$

Multiply \frac{55}{3} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 1}{3\times 6}$$

Do the multiplications in the fraction \frac{55\times 1}{3\times 6}.

$$\frac{55}{18}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3 ^ {2}} = 3\frac{1}{18} = 3.0555555555555554$$