College

Encuentra la media naranja.

2. Encierra en un círculo la fracción equivalente.

[tex]
\[
\begin{array}{c|ccc}
\frac{3}{5} & \frac{12}{15} & \frac{15}{25} & \frac{7}{10} \\
\frac{6}{12} & \frac{1}{2} & \frac{5}{8} & \frac{13}{16} \\
\frac{9}{10} & \frac{16}{18} & \frac{4}{5} & \frac{18}{20} \\
\frac{12}{16} & \frac{8}{15} & \frac{2}{6} & \frac{3}{4} \\
\frac{1}{4} & \frac{25}{100} & \frac{18}{40} & \frac{45}{100} \\
\frac{4}{6} & \frac{6}{4} & \frac{20}{30} & \frac{17}{10} \\
\frac{1}{3} & \frac{3}{9} & \frac{15}{60} & \frac{17}{51}
\end{array}
\]
[/tex]

Answer :

To find an equivalent fraction for each given fraction in the rows, follow these steps:

1. Row 1:
- Compare the first fraction [tex]\(\frac{3}{5}\)[/tex] with the rest.
- Check which fraction has the same value as [tex]\(\frac{3}{5}\)[/tex].
- [tex]\(\frac{3}{5} = \frac{15}{25}\)[/tex] because both simplify to [tex]\(\frac{3}{5}\)[/tex].

2. Row 2:
- Compare [tex]\(\frac{6}{12}\)[/tex] with the others.
- Simplify [tex]\(\frac{6}{12}\)[/tex] to [tex]\(\frac{1}{2}\)[/tex].
- [tex]\(\frac{1}{2}\)[/tex] is already present, so it’s equivalent.

3. Row 3:
- Compare [tex]\(\frac{9}{10}\)[/tex] with the others.
- Simplify [tex]\(\frac{18}{20}\)[/tex] to [tex]\(\frac{9}{10}\)[/tex].
- [tex]\(\frac{18}{20} = \frac{9}{10}\)[/tex], so it's equivalent.

4. Row 4:
- Compare [tex]\(\frac{12}{16}\)[/tex] with the others.
- Simplify [tex]\(\frac{12}{16}\)[/tex] to [tex]\(\frac{3}{4}\)[/tex].
- [tex]\(\frac{3}{4}\)[/tex] is already present in the row as equivalent.

5. Row 5:
- Compare [tex]\(\frac{1}{4}\)[/tex] with the others.
- [tex]\(\frac{25}{100} = \frac{1}{4}\)[/tex].
- Therefore, [tex]\(\frac{25}{100}\)[/tex] is equivalent.

6. Row 6:
- Compare [tex]\(\frac{4}{6}\)[/tex] with the others.
- Simplify [tex]\(\frac{4}{6}\)[/tex] to [tex]\(\frac{2}{3}\)[/tex].
- [tex]\(\frac{20}{30} = \frac{2}{3}\)[/tex] when simplified.
- Thus, [tex]\(\frac{20}{30}\)[/tex] is equivalent.

7. Row 7:
- Compare [tex]\(\frac{1}{3}\)[/tex] with the others.
- [tex]\(\frac{3}{9} = \frac{1}{3}\)[/tex].
- [tex]\(\frac{3}{9}\)[/tex] is already equivalent.

These are the fractions that are equivalent in each row:

- Row 1: [tex]\(\frac{15}{25}\)[/tex]
- Row 2: [tex]\(\frac{1}{2}\)[/tex]
- Row 3: [tex]\(\frac{18}{20}\)[/tex]
- Row 4: [tex]\(\frac{3}{4}\)[/tex]
- Row 5: [tex]\(\frac{25}{100}\)[/tex]
- Row 6: [tex]\(\frac{20}{30}\)[/tex]
- Row 7: [tex]\(\frac{3}{9}\)[/tex]

These are the equivalent fractions for each row.