Solve 63/4div303/8=

$$6 \frac { 3 } { 4 } \div 30 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Divide \frac{6\times 4+3}{4} by \frac{30\times 8+3}{8} by multiplying \frac{6\times 4+3}{4} by the reciprocal of \frac{30\times 8+3}{8}.

$$\frac{\left(6\times 4+3\right)\times 8}{4\left(30\times 8+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(3+4\times 6\right)}{3+8\times 30}$$

Multiply 4 and 6 to get 24.

$$\frac{2\left(3+24\right)}{3+8\times 30}$$

Add 3 and 24 to get 27.

$$\frac{2\times 27}{3+8\times 30}$$

Multiply 2 and 27 to get 54.

$$\frac{54}{3+8\times 30}$$

Multiply 8 and 30 to get 240.

$$\frac{54}{3+240}$$

Add 3 and 240 to get 243.

$$\frac{54}{243}$$

Reduce the fraction \frac{54}{243} to lowest terms by extracting and canceling out 27.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$