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Inequality symbols are used to compare two numbers or expressions to show the relationship between them. The most common inequality symbols are < (less than) and > (greater than). When comparing fractions and decimals, it is important to understand which symbol indicates the correct relationship.
For example, if we say 0.83 < 0.8333, it means that 0.83 is smaller than 0.8333. On the other hand, if we say 0.8333 > 0.83, it means that 0.8333 is larger than 0.83.
Inequality symbols help us order numbers and understand their relative sizes more clearly. When working with fractions and decimals, always convert them to a similar form before applying inequality symbols. This ensures accuracy and makes comparisons straightforward.

Decimal conversion is the process of converting fractions into their decimal equivalents. To convert a fraction to a decimal, simply divide the numerator (top number) by the denominator (bottom number).
For instance, in the problem, we have the fraction \(\frac{5}{6}\). When we convert this fraction to a decimal, we divide 5 (numerator) by 6 (denominator): \(\frac{5}{6} = 0.8333\). This decimal representation makes it easier to compare with other decimal numbers.
It is essential to know how to convert fractions to decimals to make comparisons clear and accurate. This conversion is especially useful in problems involving ordering or comparing fractions and decimals, like the one in the exercise.

Fraction comparison involves determining which of two fractions is larger or smaller. To compare fractions accurately, it’s often helpful to convert them to decimal form.
In our exercise, we compare the decimal number 0.83 and the fraction \(\frac{5}{6}\). By converting \(\frac{5}{6}\) to its decimal form, 0.8333, we can more easily see which number is greater.
After conversion, we observe that 0.83 has fewer decimal places than 0.8333, showing that 0.83 is less than 0.8333. Therefore, we use the < symbol to write: \( 0.83 < \frac{5}{6} \).
Converting fractions to decimals and then comparing them using inequality symbols is a reliable way to identify their relationship. This method minimizes errors and simplifies the comparison process.