Solve 33/8div31/6

$$3 \frac { 3 } { 8 } \div 3 \frac { 1 } { 6 }$$

Evaluate

$$\frac{81}{76}\approx 1.065789474$$

Solution Steps

Divide \frac{3\times 8+3}{8} by \frac{3\times 6+1}{6} by multiplying \frac{3\times 8+3}{8} by the reciprocal of \frac{3\times 6+1}{6}.

$$\frac{\left(3\times 8+3\right)\times 6}{8\left(3\times 6+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(3+3\times 8\right)}{4\left(1+3\times 6\right)}$$

Multiply 3 and 8 to get 24.

$$\frac{3\left(3+24\right)}{4\left(1+3\times 6\right)}$$

Add 3 and 24 to get 27.

$$\frac{3\times 27}{4\left(1+3\times 6\right)}$$

Multiply 3 and 27 to get 81.

$$\frac{81}{4\left(1+3\times 6\right)}$$

Multiply 3 and 6 to get 18.

$$\frac{81}{4\left(1+18\right)}$$

Add 1 and 18 to get 19.

$$\frac{81}{4\times 19}$$

Multiply 4 and 19 to get 76.

$$\frac{81}{76}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {2} \cdot 19} = 1\frac{5}{76} = 1.0657894736842106$$