College

We appreciate your visit to Which group of fractions are all equivalent A tex frac 12 87 frac 35 73 frac 3 6 tex B tex frac 27 82 frac. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Which group of fractions are all equivalent?

A. [tex]\frac{12}{87}, \frac{35}{73}, \frac{3}{6}[/tex]

B. [tex]\frac{27}{82}, \frac{8}{8}, \frac{15}{18}[/tex]

C. [tex]\frac{9}{50}, \frac{3}{10}, \frac{12}{10}[/tex]

D. [tex]\frac{18}{20}, \frac{14}{18}, \frac{18}{50}[/tex]

Answer :

To determine which group of fractions are all equivalent, we need to simplify each fraction in the sets provided and check if all fractions in any set simplify to the same value. Here's how we can do this manually:

### Set 1:
- [tex]\(\frac{12}{87}\)[/tex]
- [tex]\(\frac{35}{73}\)[/tex]
- [tex]\(\frac{3}{6}\)[/tex]

Simplifying:
- [tex]\(\frac{12}{87}\)[/tex] cannot be simplified further since the greatest common divisor (GCD) is 3, resulting in [tex]\(\frac{4}{29}\)[/tex].
- [tex]\(\frac{35}{73}\)[/tex] is already in its simplest form.
- [tex]\(\frac{3}{6} = \frac{1}{2}\)[/tex].

These fractions are not equivalent to each other.

### Set 2:
- [tex]\(\frac{27}{82}\)[/tex]
- [tex]\(\frac{8}{8}\)[/tex]
- [tex]\(\frac{15}{18}\)[/tex]

Simplifying:
- [tex]\(\frac{27}{82}\)[/tex] is already in its simplest form.
- [tex]\(\frac{8}{8} = 1\)[/tex].
- [tex]\(\frac{15}{18}\)[/tex] simplifies to [tex]\(\frac{5}{6}\)[/tex].

These fractions are not equivalent to each other.

### Set 3:
- [tex]\(\frac{9}{50}\)[/tex]
- [tex]\(\frac{3}{10}\)[/tex]
- [tex]\(\frac{12}{10}\)[/tex]

Simplifying:
- [tex]\(\frac{9}{50}\)[/tex] is already in its simplest form.
- [tex]\(\frac{3}{10}\)[/tex] is already in its simplest form.
- [tex]\(\frac{12}{10}\)[/tex] simplifies to [tex]\(\frac{6}{5}\)[/tex].

These fractions are not equivalent to each other.

### Set 4:
- [tex]\(\frac{18}{20}\)[/tex]
- [tex]\(\frac{14}{18}\)[/tex]
- [tex]\(\frac{18}{50}\)[/tex]

Simplifying:
- [tex]\(\frac{18}{20} = \frac{9}{10}\)[/tex].
- [tex]\(\frac{14}{18}\)[/tex] simplifies to [tex]\(\frac{7}{9}\)[/tex].
- [tex]\(\frac{18}{50}\)[/tex] simplifies to [tex]\(\frac{9}{25}\)[/tex].

These fractions are not equivalent to each other.

After examining each set of fractions, we see that none of the sets consist fully of equivalent fractions. It appears there might have been an error in the initial setup, as none of the options provided result in a set of equivalent fractions.

Thanks for taking the time to read Which group of fractions are all equivalent A tex frac 12 87 frac 35 73 frac 3 6 tex B tex frac 27 82 frac. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada