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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.
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