Problem 102 - Elementary Algebra

Question

Rewrite \(\frac{18}{3}\) using a \(\div\) sign instead of a fraction bar.

Step-by-Step Solution

Answer

\(\frac{18}{3}\) can be rewritten as \(\text{18 \div 3}\).

Step 1: Identify Numerator and Denominator

The given fraction is \(\frac{18}{3}\). Here, 18 is the numerator and 3 is the denominator.

Step 2: Rewrite Using Division Sign

Rewrite the fraction by using a division sign instead of the fraction bar. Thus, \(\frac{18}{3}\) becomes 18 \(\backslash\text{div}\) 3.

Key Concepts

fractions

Fractions are a way of expressing one number as a part of another. They consist of two parts: the numerator and the denominator. Think of a fraction as a way to show how many parts of a whole you have. For instance, if you have \( \frac{3}{4} \), it means you have 3 out of 4 equal parts. Fractions are very useful in situations where we need to divide something into smaller parts. They help students understand the notion of parts of a whole and how parts can be distributed.

numerator and denominator

Understanding the numerator and denominator is crucial in working with fractions. The numerator is the top number in a fraction. It indicates how many parts of the whole or group are being considered. The denominator is the bottom number. It shows how many equal parts the whole is divided into. For example, in the fraction \( \frac{18}{3} \):

• 18 is the numerator.
• 3 is the denominator.

The numerator (18) tells you the number of parts you have, and the denominator (3) tells you into how many equal parts something is divided. This distinction is important when converting a fraction to other forms, like using a division sign.

division sign

The division sign (\( \backslash\text{div} \)) is a symbol used to represent the operation of dividing one quantity by another. When working with fractions, converting a fraction to a division problem can often make things clearer. For example, the fraction \( \frac{18}{3} \) can be rewritten using the division sign as 18 \( \backslash\text{div} \) 3. Both expressions \( \frac{18}{3} \) and 18 \( \backslash\text{div} \) 3 represent the same operation: dividing 18 by 3. This approach can help in simplifying calculations and understanding the relationship between the numerator and denominator.