Solve 303/8div63/4=

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

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

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

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

Cancel out 4 in both numerator and denominator.

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

Multiply 8 and 30 to get 240.

$$\frac{3+240}{2\left(3+4\times 6\right)}$$

Add 3 and 240 to get 243.

$$\frac{243}{2\left(3+4\times 6\right)}$$

Multiply 4 and 6 to get 24.

$$\frac{243}{2\left(3+24\right)}$$

Add 3 and 24 to get 27.

$$\frac{243}{2\times 27}$$

Multiply 2 and 27 to get 54.

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

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

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

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$