Problem 42 - Fundamentals of Mathematics

Question

For the following 10 problems, write the fractions using words. \(\frac{75}{100}\)

Step-by-Step Solution

Answer

Seventy-five one-hundredths.

Step 1: Understand the Fraction

The fraction given is \( \frac{75}{100} \), which means 75 parts out of a total of 100 parts.

Step 2: Writing the Numerator

The numerator of the fraction is 75. In words, this is written as "seventy-five."

Step 3: Writing the Denominator

The denominator of the fraction is 100. In words, this is written as "one hundred."

Step 4: Combine the Parts

Combine the words from the numerator and the denominator to write the whole fraction in words. Thus, \( \frac{75}{100} \) is written as "seventy-five one-hundredths."

Key Concepts

Numerator

When dealing with fractions, the numerator is an essential component. It is the top number of a fraction and tells you how many parts of a whole you have. In our example, the fraction \( \frac{75}{100} \) has 75 as the numerator.

• The numerator indicates the number of equal parts we are focusing on.
• It is the part of the fraction that expresses the specific quantity being considered.

In general, the numerator is written in words in the same way you write regular numbers. For instance, the number 75 is read and written as "seventy-five" in word form. By understanding the numerator, students can better grasp how fractions represent parts of a whole.

Denominator

The denominator, the bottom number in a fraction, plays a crucial role in defining the fraction's overall value. In the fraction \( \frac{75}{100} \), the number 100 acts as the denominator. This component of the fraction represents the total number of equal parts that make up a whole.

• The denominator tells us into how many equal parts the whole is divided.
• It remains the same across all parts of a particular whole, giving context to the numerator.

In our example, "one hundred" is the word form for the number 100. Recognizing the denominator helps you understand the scale and proportion of the fraction in relation to the whole.

Writing Fractions in Words

Writing fractions in words is an important skill that helps students verbalize numerical concepts. It also aids in understanding and communicating mathematical ideas. To write a fraction like \( \frac{75}{100} \) in words, you need to combine what you've learned about the numerator and the denominator:

• First, write the numerator in word form.
• Next, write the denominator in word form.
• Finally, combine both parts to construct the full phrase representing the fraction.

Therefore, the fraction \( \frac{75}{100} \) is expressed in words as "seventy-five one-hundredths." Getting comfortable with writing fractions in words helps build a deeper understanding of fractions and their components, making it easier to communicate and work with different fractions in various contexts.