Solve 321/4div11/6*11/6

$$32 \frac { 1 } { 4 } \div 1 \frac { 1 } { 6 } \times 1 \frac { 1 } { 6 }$$

Evaluate

$$\frac{129}{4}=32.25$$

Solution Steps

Divide \frac{32\times 4+1}{4} by \frac{1\times 6+1}{6} by multiplying \frac{32\times 4+1}{4} by the reciprocal of \frac{1\times 6+1}{6}.

$$\frac{\left(32\times 4+1\right)\times 6}{4\left(1\times 6+1\right)}\times \frac{1\times 6+1}{6}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(1+4\times 32\right)}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Multiply 4 and 32 to get 128.

$$\frac{3\left(1+128\right)}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Add 1 and 128 to get 129.

$$\frac{3\times 129}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Multiply 3 and 129 to get 387.

$$\frac{387}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Add 1 and 6 to get 7.

$$\frac{387}{2\times 7}\times \frac{1\times 6+1}{6}$$

Multiply 2 and 7 to get 14.

$$\frac{387}{14}\times \frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{387}{14}\times \frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{387}{14}\times \frac{7}{6}$$

Multiply \frac{387}{14} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{387\times 7}{14\times 6}$$

Do the multiplications in the fraction \frac{387\times 7}{14\times 6}.

$$\frac{2709}{84}$$

Reduce the fraction \frac{2709}{84} to lowest terms by extracting and canceling out 21.

$$\frac{129}{4}$$

Factor

$$\frac{3 \cdot 43}{2 ^ {2}} = 32\frac{1}{4} = 32.25$$