Problem 46 - Fundamentals of Mathematics

Question

For the following 10 problems, write the fractions using words. \(\frac{18}{31,608}\)

Step-by-Step Solution

Answer

Eighteen over thirty-one thousand six hundred eight.

Step 1: Understanding the Numerator and Denominator

The fraction \(\frac{18}{31,608}\) is composed of two parts: the numerator and the denominator. The numerator is \(18\), which is the number above the fraction line. The denominator is \(31,608\), which is the number below the fraction line.

Step 2: Writing the Numerator in Words

Convert the numerator \(18\) into words. The number \(18\) is written as 'eighteen' in words.

Step 3: Writing the Denominator in Words

Now, convert the denominator \(31,608\) into words. The number \(31,608\) is written as 'thirty-one thousand six hundred eight' in words.

Step 4: Forming the Fraction in Words

Combine the words for the numerator and denominator from Steps 2 and 3. The fraction \(\frac{18}{31,608}\) is written as 'eighteen over thirty-one thousand six hundred eight'.

Key Concepts

Understanding the Numerator

In a fraction, the top number is what we refer to as the numerator. The numerator is crucial because it tells us the number of parts we are considering. In the fraction \(\frac{18}{31,608}\), 18 is our numerator.
This means we have 18 parts out of the whole. When writing fractions in words, it helps to start by stating the numerator first. Here, we have the word 'eighteen' representing the number 18.
Whenever you encounter any fraction, focus on the numerator as it sets the stage for understanding the portion of the whole that you're discussing. Being clear about your numerator in words lays a strong foundation for effectively conveying fractional values.

Exploring the Denominator

The bottom number of a fraction is known as the denominator. In our example \(\frac{18}{31,608}\), 31,608 serves as the denominator.
Its role is to tell us into how many parts the whole is divided. Imagine slicing a pie into large or tiny pieces; this number gives you that information.
For this instance, when writing 31,608 in words, it becomes 'thirty-one thousand six hundred eight'. Using words to describe the denominator is essential for clarity, especially in verbal communication. It ensures listeners grasp the scale or division of what you're discussing with the fractions.

Writing Numbers in Words

Writing numbers in words involves converting numeric values into their corresponding word form. This practice is especially crucial in contexts where clear verbal communication is needed or in formal documents.
For example, writing \(\frac{18}{31,608}\) as 'eighteen over thirty-one thousand six hundred eight' makes it accessible and understandable without a visual reference.
Here's how you can accurately write numbers in words:

• Break down the number into manageable parts. For instance, 31,608 can be seen as 31 thousand plus 608.
• Use standard number names, like 'thirty', 'thousand', 'hundred', and so on to match each part of the number.
• Read numbers in chunks, applying the word for each chunk before moving to the next to avoid confusion.

By mastering these steps, you'll make fractions much easier to understand or communicate, especially in educational or professional settings.