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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 :

GinnyAnswer
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]
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