1. The problem is to understand the relationship between fractions and decimals and how to convert between them. 2. A fraction represents a part of a whole and is written as $\frac{a}{b}$ where $a$ is the numerator and $b$ is the denominator. 3. To convert a fraction to a decimal, divide the numerator by the denominator: $$\text{decimal} = \frac{a}{b}$$. 4. For example, to convert $\frac{3}{4}$ to a decimal, calculate $3 \div 4 = 0.75$. 5. Conversely, some decimals can be expressed as fractions. For example, $0.5 = \frac{1}{2}$, $0.75 = \frac{3}{4}$. 6. To convert a decimal to a fraction, write the decimal as $\frac{\text{decimal part}}{10^n}$ where $n$ is the number of decimal places, then simplify. 7. For example, converting 0.125: write as $\frac{125}{1000}$ and simplify by dividing numerator and denominator by 125 to get $\frac{1}{8}$. 8. Understanding these conversions helps with arithmetic, comparison, and solving problems involving parts of whole numbers.