Problem 44 - Fundamentals of Mathematics

Question

For the following 10 problems, write the fractions using words. \(\frac{916}{1,014}\)

Step-by-Step Solution

Answer

Nine hundred sixteen over one thousand fourteen.

Step 1: Understand the Fraction

First, examine the given fraction \(\frac{916}{1,014}\). Notice that the number on top is called the numerator (916), and the number at the bottom is called the denominator (1,014).

Step 2: Write the Numerator in Words

Next, convert the numerator (916) into words. When writing numbers in words: 916 is written as 'nine hundred sixteen'.

Step 3: Write the Denominator in Words

Now convert the denominator (1,014) into words. 1,014 is expressed as 'one thousand fourteen.'

Step 4: Combine Both Parts

Finally, put the words together as "nine hundred sixteen over one thousand fourteen" to fully express the fraction in words.

Key Concepts

Numerator in Words

When you learn about fractions, understanding how to express numbers in words is an essential skill. The first part of a fraction is its numerator. The numerator is the number above the line in a fraction, and it represents how many parts of the whole are being considered.

For example, in the fraction \( \frac{916}{1,014} \), the numerator is 916. To write it in words, we break it down like so:

• Write hundreds first: Nine hundred
• Add the remaining digit: Sixteen

Put together, 916 is written in words as 'nine hundred sixteen.' This helps you communicate the fraction clearly, especially in situations where numerical literacy is crucial. Remembering how to convert numbers like the numerator into words increases understanding and accuracy when discussing fractions.

Denominator in Words

The second part of writing fractions in words deals with the denominator. The denominator is found below the fraction line and denotes the total number of equal parts in the whole. Just like we did with the numerator, converting the denominator into words is straightforward but important.

In the fraction \( \frac{916}{1,014} \), the denominator is 1,014. When writing it in words, 1,014 becomes:

• Start with the thousands: One thousand
• Add the rest: Fourteen

Thus, 1,014 in words is 'one thousand fourteen.' By expressing both the numerator and denominator in words, the fraction becomes much clearer to understand, especially when communicating verbally or in written descriptions. This is particularly helpful in academic and professional settings where precise articulation is necessary.

Fraction Terminology

Understanding the terminology of fractions is key to mastering their use. A fraction is simply made up of two crucial components: the numerator and the denominator.

• Numerator: The top part of the fraction, which shows how many parts of the whole are being considered.
• Denominator: The bottom part, which indicates the total number of equal parts in the whole.

These terms help clarify the structure and meaning of fractions and enhance mathematical communication.

When you say a fraction out loud or write it in words, knowing this terminology ensures you convey the correct information. For example, when you say "nine hundred sixteen over one thousand fourteen," you are effectively communicating \( \frac{916}{1,014} \).

Learning fraction terminology supports deeper understanding and greater problem-solving abilities in mathematics, allowing you to engage with more complex concepts and problems confidently.