Solve 63/8div41/4

$$6 \frac { 3 } { 8 } \div 4 \frac { 1 } { 4 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Divide \frac{6\times 8+3}{8} by \frac{4\times 4+1}{4} by multiplying \frac{6\times 8+3}{8} by the reciprocal of \frac{4\times 4+1}{4}.

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

Cancel out 4 in both numerator and denominator.

$$\frac{3+6\times 8}{2\left(1+4\times 4\right)}$$

Multiply 6 and 8 to get 48.

$$\frac{3+48}{2\left(1+4\times 4\right)}$$

Add 3 and 48 to get 51.

$$\frac{51}{2\left(1+4\times 4\right)}$$

Multiply 4 and 4 to get 16.

$$\frac{51}{2\left(1+16\right)}$$

Add 1 and 16 to get 17.

$$\frac{51}{2\times 17}$$

Multiply 2 and 17 to get 34.

$$\frac{51}{34}$$

Reduce the fraction \frac{51}{34} to lowest terms by extracting and canceling out 17.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$