Answered

Get comprehensive answers to your questions with the help of IDNLearn.com's community. Our platform is designed to provide quick and accurate answers to any questions you may have.

Compare [tex]\( \frac{7}{8} \)[/tex] with [tex]\( \frac{14}{16} \)[/tex] using [tex]\( \ \textless \ , \ \textgreater \ , = \)[/tex].

A. [tex]\( \frac{7}{8} = \frac{14}{16} \)[/tex]

B. [tex]\( \frac{7}{8} \ \textless \ \frac{14}{16} \)[/tex]

C. [tex]\( \frac{7}{8} \ \textgreater \ \frac{14}{16} \)[/tex]

D. None of the above

Sagot :

GinnyAnsweridn
To compare the fractions [tex]\( \frac{7}{8} \)[/tex] and [tex]\( \frac{14}{16} \)[/tex], we will follow a few steps.

1. Simplify the Fractions:
- First, simplify [tex]\(\frac{14}{16}\)[/tex]:
- Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 2.
- [tex]\[ \frac{14 \div 2}{16 \div 2} = \frac{7}{8} \][/tex]

2. Compare the Simplified Fractions:
- Now, we have both fractions as [tex]\(\frac{7}{8}\)[/tex] and [tex]\(\frac{7}{8}\)[/tex].
- Since they are identical, it means that [tex]\(\frac{7}{8} = \frac{14}{16}\)[/tex].

3. Determine the Correct Answer:
- From the given choices:
- A. [tex]\(\frac{7}{8} = \frac{14}{16}\)[/tex]
- B. [tex]\(\frac{7}{8} < \frac{14}{16}\)[/tex]
- C. [tex]\(\frac{7}{8} > \frac{14}{16}\)[/tex]
- D. none of the above

The correct comparison is, therefore, [tex]\(\frac{7}{8} = \frac{14}{16}\)[/tex].

So, the best answer is:
A. [tex]\(\frac{7}{8} = \frac{14}{16}\)[/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.