Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Solving the problem

Let's convert the decimal fraction to a simple fraction:

$0.5=\frac{5}{10}$

We'll write the division problem as follows:

$\frac{\frac{5}{10}}{2}$

Let's convert the division problem to a multiplication problem.

We'll multiply $\frac{5}{10}$ by the reciprocal of $2$ as follows:

$\frac{5}{10}\times\frac{1}{2}$

We'll solve it this way:

$\frac{5\times1}{10\times2}=\frac{5}{20}$

We'll reduce both the numerator and denominator by 5 and get:

$\frac{5:5}{20:5}=\frac{1}{4}$

Let's convert the decimal fraction to a simple fraction:

$\frac{0.5}{4}=\frac{\frac{1}{2}}{4}$

Let's convert the division problem to a multiplication problem.

We'll multiply $\frac{1}{2}$ by the reciprocal of 4 as follows:

$\frac{1}{2}\times\frac{1}{4}$

We'll solve it as follows:

$\frac{1\times1}{2\times4}=\frac{1}{8}$

Let's convert the decimal fractions to simple fractions:

$0.3=\frac{3}{10}$

$0.5=\frac{5}{10}$

We'll write the division problem as follows:

$\frac{\frac{3}{10}}{\frac{5}{10}}$

Let's convert the division problem to a multiplication problem.

We'll multiply $\frac{3}{10}$ by the reciprocal of $\frac{5}{10}$ as follows:

$\frac{3}{10}\times\frac{10}{5}$

We'll solve it this way:

$\frac{3\times10}{10\times5}$

We'll cancel out the 10 in the numerator with the 10 in the denominator and get:

$\frac{3}{5}$