Solve 41/5div21/10=

$$4 \frac{ 1 }{ 5 } \div 2 \frac{ 1 }{ 10 } =$$

Evaluate

$$2$$

Solution Steps

Divide \frac{4\times 5+1}{5} by \frac{2\times 10+1}{10} by multiplying \frac{4\times 5+1}{5} by the reciprocal of \frac{2\times 10+1}{10}.

$$\frac{\left(4\times 5+1\right)\times 10}{5\left(2\times 10+1\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(1+4\times 5\right)}{1+2\times 10}$$

Multiply 4 and 5 to get 20.

$$\frac{2\left(1+20\right)}{1+2\times 10}$$

Add 1 and 20 to get 21.

$$\frac{2\times 21}{1+2\times 10}$$

Multiply 2 and 21 to get 42.

$$\frac{42}{1+2\times 10}$$

Multiply 2 and 10 to get 20.

$$\frac{42}{1+20}$$

Add 1 and 20 to get 21.

$$\frac{42}{21}$$

Divide 42 by 21 to get 2.

$$2$$

Factor

$$2$$