Solve 1285/8div121/4

$$128 \frac{ 5 }{ 8 } \div 12 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{21}{2}=10.5$$

Solution Steps

Divide \frac{128\times 8+5}{8} by \frac{12\times 4+1}{4} by multiplying \frac{128\times 8+5}{8} by the reciprocal of \frac{12\times 4+1}{4}.

$$\frac{\left(128\times 8+5\right)\times 4}{8\left(12\times 4+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{5+8\times 128}{2\left(1+4\times 12\right)}$$

Multiply 8 and 128 to get 1024.

$$\frac{5+1024}{2\left(1+4\times 12\right)}$$

Add 5 and 1024 to get 1029.

$$\frac{1029}{2\left(1+4\times 12\right)}$$

Multiply 4 and 12 to get 48.

$$\frac{1029}{2\left(1+48\right)}$$

Add 1 and 48 to get 49.

$$\frac{1029}{2\times 49}$$

Multiply 2 and 49 to get 98.

$$\frac{1029}{98}$$

Reduce the fraction \frac{1029}{98} to lowest terms by extracting and canceling out 49.

$$\frac{21}{2}$$

Factor

$$\frac{3 \cdot 7}{2} = 10\frac{1}{2} = 10.5$$