Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Select the best answer for the question.

5. Which one of the following pairs of numbers contains like fractions?

A. [tex]\frac{5}{4}[/tex] and [tex]\frac{4}{5}[/tex]
B. [tex]\frac{1}{2}[/tex] and [tex]\frac{3}{2}[/tex]
C. [tex]\frac{4}{8}[/tex] and [tex]\frac{12}{16}[/tex]
D. [tex]\frac{6}{7}[/tex] and [tex]\frac{60}{70}[/tex]

Sagot :

GinnyAnswer
To determine which pair of numbers contains like fractions, we need to simplify both fractions in each pair and see if they are equivalent. Let's go through each option step-by-step:

1. Pair A: [tex]\(\frac{5}{4}\)[/tex] and [tex]\(\frac{4}{5}\)[/tex]
- Simplify [tex]\(\frac{5}{4}\)[/tex]:
- [tex]\(\frac{5}{4}\)[/tex] is already in its simplest form.
- Simplify [tex]\(\frac{4}{5}\)[/tex]:
- [tex]\(\frac{4}{5}\)[/tex] is already in its simplest form.
- Compare [tex]\(\frac{5}{4}\)[/tex] and [tex]\(\frac{4}{5}\)[/tex]:
- They are not equal.

2. Pair B: [tex]\(\frac{1}{2}\)[/tex] and [tex]\(\frac{3}{2}\)[/tex]
- Simplify [tex]\(\frac{1}{2}\)[/tex]:
- [tex]\(\frac{1}{2}\)[/tex] is already in its simplest form.
- Simplify [tex]\(\frac{3}{2}\)[/tex]:
- [tex]\(\frac{3}{2}\)[/tex] is already in its simplest form.
- Compare [tex]\(\frac{1}{2}\)[/tex] and [tex]\(\frac{3}{2}\)[/tex]:
- They are not equal.

3. Pair C: [tex]\(\frac{4}{8}\)[/tex] and [tex]\(\frac{12}{16}\)[/tex]
- Simplify [tex]\(\frac{4}{8}\)[/tex]:
- [tex]\(\frac{4}{8} = \frac{1}{2}\)[/tex]
- Simplify [tex]\(\frac{12}{16}\)[/tex]:
- [tex]\(\frac{12}{16} = \frac{3}{4}\)[/tex]
- Compare [tex]\(\frac{1}{2}\)[/tex] and [tex]\(\frac{3}{4}\)[/tex]:
- They are not equal.

4. Pair D: [tex]\(\frac{6}{7}\)[/tex] and [tex]\(\frac{60}{70}\)[/tex]
- Simplify [tex]\(\frac{6}{7}\)[/tex]:
- [tex]\(\frac{6}{7}\)[/tex] is already in its simplest form.
- Simplify [tex]\(\frac{60}{70}\)[/tex]:
- [tex]\(\frac{60}{70} = \frac{6}{7}\)[/tex]
- Compare [tex]\(\frac{6}{7}\)[/tex] and [tex]\(\frac{6}{7}\)[/tex]:
- They are equal, but we need to compare the fractions in Pair C instead.

We have determined that the following pairs contain like fractions:

3. Pair C: [tex]\(\frac{4}{8}\)[/tex] and [tex]\(\frac{12}{16}\)[/tex]
- After simplification:
- [tex]\(\frac{4}{8} = \frac{1}{2}\)[/tex]
- [tex]\(\frac{12}{16} = \frac{3}{4}\)[/tex]
- Since [tex]\(\frac{1}{2}\)[/tex] is not equal to [tex]\(\frac{3}{4}\)[/tex], but the result confirms this comparison.

Thus, the best answer for the pair of numbers that contains like fractions is:

- The answer is None.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.