Solve 11/2*21/6*11/5=

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

Evaluate

$$\frac{39}{10}=3.9$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}\times \frac{2\times 6+1}{6}\times \frac{1\times 5+1}{5}$$

Add 2 and 1 to get 3.

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

Multiply 2 and 6 to get 12.

$$\frac{3}{2}\times \frac{12+1}{6}\times \frac{1\times 5+1}{5}$$

Add 12 and 1 to get 13.

$$\frac{3}{2}\times \frac{13}{6}\times \frac{1\times 5+1}{5}$$

Multiply \frac{3}{2} times \frac{13}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 13}{2\times 6}\times \frac{1\times 5+1}{5}$$

Do the multiplications in the fraction \frac{3\times 13}{2\times 6}.

$$\frac{39}{12}\times \frac{1\times 5+1}{5}$$

Reduce the fraction \frac{39}{12} to lowest terms by extracting and canceling out 3.

$$\frac{13}{4}\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{13}{4}\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{13}{4}\times \frac{6}{5}$$

Multiply \frac{13}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 6}{4\times 5}$$

Do the multiplications in the fraction \frac{13\times 6}{4\times 5}.

$$\frac{78}{20}$$

Reduce the fraction \frac{78}{20} to lowest terms by extracting and canceling out 2.

$$\frac{39}{10}$$

Factor

$$\frac{3 \cdot 13}{2 \cdot 5} = 3\frac{9}{10} = 3.9$$