Solve 3.21/4div11/6*11/6

$$3.2 \frac { 1 } { 4 } \div 1 \frac { 1 } { 6 } \times 1 \frac { 1 } { 6 }$$

Evaluate

$$3.45$$

Solution Steps

Divide \frac{3.2\times 4+1}{4} by \frac{1\times 6+1}{6} by multiplying \frac{3.2\times 4+1}{4} by the reciprocal of \frac{1\times 6+1}{6}.

$$\frac{\left(3.2\times 4+1\right)\times 6}{4\left(1\times 6+1\right)}\times \frac{1\times 6+1}{6}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(1+3.2\times 4\right)}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Multiply 3.2 and 4 to get 12.8.

$$\frac{3\left(1+12.8\right)}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Add 1 and 12.8 to get 13.8.

$$\frac{3\times 13.8}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Multiply 3 and 13.8 to get 41.4.

$$\frac{41.4}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Add 1 and 6 to get 7.

$$\frac{41.4}{2\times 7}\times \frac{1\times 6+1}{6}$$

Multiply 2 and 7 to get 14.

$$\frac{41.4}{14}\times \frac{1\times 6+1}{6}$$

Expand \frac{41.4}{14} by multiplying both numerator and the denominator by 10.

$$\frac{414}{140}\times \frac{1\times 6+1}{6}$$

Reduce the fraction \frac{414}{140} to lowest terms by extracting and canceling out 2.

$$\frac{207}{70}\times \frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{207}{70}\times \frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{207}{70}\times \frac{7}{6}$$

Multiply \frac{207}{70} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{207\times 7}{70\times 6}$$

Do the multiplications in the fraction \frac{207\times 7}{70\times 6}.

$$\frac{1449}{420}$$

Reduce the fraction \frac{1449}{420} to lowest terms by extracting and canceling out 21.

$$\frac{69}{20}$$

Factor

$$\frac{3 \cdot 23}{5 \cdot 2 ^ {2}} = 3\frac{9}{20} = 3.45$$