Problem 43 - Fundamentals of Mathematics

Question

For the following 10 problems, write the fractions using words. \(\frac{86}{135}\)

Step-by-Step Solution

Answer

Eighty-six over one hundred thirty-five.

Step 1: Identify the Numerator

The numerator in the fraction is the top part. In the fraction \(\frac{86}{135}\), the numerator is 86.

Step 2: Identify the Denominator

The denominator is the bottom part of the fraction. In the fraction \(\frac{86}{135}\), the denominator is 135.

Step 3: Express Numerator in Words

The number 86 is expressed in words as "eighty-six."

Step 4: Express Denominator in Words

The number 135 is expressed in words as "one hundred thirty-five."

Step 5: Combine Words into Fraction Form

Now that both the numerator and denominator are written out in words, we can combine them. The fraction \(\frac{86}{135}\) in words is "eighty-six over one hundred thirty-five."

Key Concepts

Understanding the Numerator

In any fraction, the numerator plays a crucial role. It is the number located at the top of a fraction. The numerator represents how many parts of a whole are being considered. For example, in the fraction \(\frac{86}{135}\), the numerator is 86. This means we are looking at 86 parts out of a total defined by the denominator below. Think of a pie: if a pie is cut into several slices and you eat 86, that is the portion indicated by the numerator. Understanding the numerator helps us grasp the concept of what is being counted or represented in the fraction, making it a fundamental element to learn.

Decoding the Denominator

The denominator is equally important as it tells us the total number of equal parts the whole is divided into. It is the bottom number in a fraction. In the fraction \(\frac{86}{135}\), the denominator is 135, which specifies that the whole is divided into 135 equal parts.

• The denominator indicates the scale or total of the fraction.
• It is crucial for understanding the size of each part represented by the numerator.

Hence, learning about denominators is key when dealing with fractions as it helps us understand the context or the scope of what the numerator is describing.

Writing Fractions in Words

Writing fractions in words is an important skill that can help convey numerical values in a more comprehensible manner. It involves expressing both the numerator and the denominator in word form and then combining them in the format "numerator over denominator." For instance, with the fraction \(\frac{86}{135}\), here's how it is done:

• First, convert the numerator - 86 into words. This becomes 'eighty-six.'
• Second, convert the denominator - 135 into words. This results in 'one hundred thirty-five.'
• Finally, combine these two expressions, resulting in the phrase: 'eighty-six over one hundred thirty-five.'

This method is particularly useful in written communication, where verbal clarity is needed over simply using numerical symbols.