proportions
[tex] \frac{4}{2} and \frac{20}{6} [/tex]
[tex] \frac{4}{3} and \: \frac{16}{12} [/tex]
[tex] \frac{12}{24} and \: \frac{3}{4} [/tex]
[tex] \frac{3}{2} and \: \frac{18}{8} [/tex]
[tex] \frac{6}{9} and \: \frac{8}{6} [/tex]
[tex] \frac{6}{9} and \: \frac{2}{3} [/tex]
Share
Answer:
To determine the proportions, we can simplify each fraction to its lowest terms and compare the resulting fractions.
1. \(\frac{4}{2}\) and \(\frac{20}{6}\)
\(\frac{4}{2}\) simplifies to \(2\)
\(\frac{20}{6}\) simplifies to \(\frac{10}{3}\)
The proportions are \(2\) and \(\frac{10}{3}\).
2. \(\frac{4}{3}\) and \(\frac{16}{12}\)
\(\frac{4}{3}\) remains the same.
\(\frac{16}{12}\) simplifies to \(\frac{4}{3}\)
The proportions are both \(\frac{4}{3}\).
3. \(\frac{12}{24}\) and \(\frac{3}{4}\)
\(\frac{12}{24}\) simplifies to \(\frac{1}{2}\)
\(\frac{3}{4}\) remains the same.
The proportions are \(\frac{1}{2}\) and \(\frac{3}{4}\).
4. \(\frac{3}{2}\) and \(\frac{18}{8}\)
\(\frac{3}{2}\) remains the same.
\(\frac{18}{8}\) simplifies to \(\frac{9}{4}\)
The proportions are \(\frac{3}{2}\) and \(\frac{9}{4}\).
5. \(\frac{6}{9}\) and \(\frac{8}{6}\)
\(\frac{6}{9}\) simplifies to \(\frac{2}{3}\)
\(\frac{8}{6}\) simplifies to \(\frac{4}{3}\)
The proportions are \(\frac{2}{3}\) and \(\frac{4}{3}\).
6. \(\frac{6}{9}\) and \(\frac{2}{3}\)
\(\frac{6}{9}\) simplifies to \(\frac{2}{3}\)
\(\frac{2}{3}\) remains the same.
The proportions are both \(\frac{2}{3}\).
In summary:
1. \(\frac{4}{2}\) and \(\frac{20}{6}\) are in the proportions \(2\) and \(\frac{10}{3}\).
2. \(\frac{4}{3}\) and \(\frac{16}{12}\) are in the proportions \(\frac{4}{3}\) and \(\frac{4}{3}\).
3. \(\frac{12}{24}\) and \(\frac{3}{4}\) are in the proportions \(\frac{1}{2}\) and \(\frac{3}{4}\).
4. \(\frac{3}{2}\) and \(\frac{18}{8}\) are in the proportions \(\frac{3}{2}\) and \(\frac{9}{4}\).
5. \(\frac{6}{9}\) and \(\frac{8}{6}\) are in the proportions \(\frac{2}{3}\) and \(\frac{4}{3}\).
6. \(\frac{6}{9}\) and \(\frac{2}{3}\) are in the proportions \(\frac{2}{3}\) and \(\frac{2}{3}\).