Solve 14/7div44/21

$$1 \frac { 4 } { 7 } \div 4 \frac { 4 } { 21 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Divide \frac{1\times 7+4}{7} by \frac{4\times 21+4}{21} by multiplying \frac{1\times 7+4}{7} by the reciprocal of \frac{4\times 21+4}{21}.

$$\frac{\left(1\times 7+4\right)\times 21}{7\left(4\times 21+4\right)}$$

Cancel out 7 in both numerator and denominator.

$$\frac{3\left(4+7\right)}{4+4\times 21}$$

Add 4 and 7 to get 11.

$$\frac{3\times 11}{4+4\times 21}$$

Multiply 3 and 11 to get 33.

$$\frac{33}{4+4\times 21}$$

Multiply 4 and 21 to get 84.

$$\frac{33}{4+84}$$

Add 4 and 84 to get 88.

$$\frac{33}{88}$$

Reduce the fraction \frac{33}{88} to lowest terms by extracting and canceling out 11.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$