Compute the Division: What is 1.3 Divided by 0.2?

You can, but converting to fractions makes it much clearer! When you see $\frac{13}{10} \div \frac{2}{10}$, you can easily spot that the 10s cancel out.

A reciprocal means flipping the fraction! The reciprocal of $\frac{2}{10}$ is $\frac{10}{2}$. When you multiply a number by its reciprocal, you always get 1.

Count the decimal places! $1.3$ has 1 decimal place, so put it over 10: $\frac{13}{10}$. For 0.2, that's also $\frac{2}{10}$.

Because we have $\frac{13}{10} \times \frac{10}{2}$! The 10 in the numerator and 10 in the denominator cancel each other, leaving us with $\frac{13}{2} = 6.5$.

Multiply your answer by the original divisor: $6.5 \times 0.2 = 1.3$. Since this equals our original dividend, 6.5 is correct!