Solve 40/0.1div49/0.196

$$\frac { 40 } { 0.1 } \div \frac { 49 } { 0.196 }$$

Evaluate

$$1.6$$

Solution Steps

Divide \frac{40}{0.1} by \frac{49}{0.196} by multiplying \frac{40}{0.1} by the reciprocal of \frac{49}{0.196}.

$$\frac{40\times 0.196}{0.1\times 49}$$

Multiply 40 and 0.196 to get 7.84.

$$\frac{7.84}{0.1\times 49}$$

Multiply 0.1 and 49 to get 4.9.

$$\frac{7.84}{4.9}$$

Expand \frac{7.84}{4.9} by multiplying both numerator and the denominator by 100.

$$\frac{784}{490}$$

Reduce the fraction \frac{784}{490} to lowest terms by extracting and canceling out 98.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$