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Answer :
To determine which of the given proportions is false, let's evaluate each pair and see if they are equal.
1. Proportion: [tex]\(\frac{18}{48} = \frac{30}{50}\)[/tex]
- Calculate each fraction:
- [tex]\(\frac{18}{48} = \frac{3}{8}\)[/tex]
- [tex]\(\frac{30}{50} = \frac{3}{5}\)[/tex]
- Compare the fractions: [tex]\(\frac{3}{8} \neq \frac{3}{5}\)[/tex]
This proportion is false.
2. Proportion: [tex]\(\frac{25}{45} = \frac{50}{90}\)[/tex]
- Reduce each fraction:
- [tex]\(\frac{25}{45} = \frac{5}{9}\)[/tex]
- [tex]\(\frac{50}{90} = \frac{5}{9}\)[/tex]
- Compare the fractions: [tex]\(\frac{5}{9} = \frac{5}{9}\)[/tex]
This proportion is true.
3. Proportion: [tex]\(\frac{20}{50} = \frac{40}{100}\)[/tex]
- Simplify each fraction:
- [tex]\(\frac{20}{50} = \frac{2}{5}\)[/tex]
- [tex]\(\frac{40}{100} = \frac{2}{5}\)[/tex]
- Compare the fractions: [tex]\(\frac{2}{5} = \frac{2}{5}\)[/tex]
This proportion is true.
4. Proportion: [tex]\(\frac{12}{15} = \frac{20}{25}\)[/tex]
- Simplify each fraction:
- [tex]\(\frac{12}{15} = \frac{4}{5}\)[/tex]
- [tex]\(\frac{20}{25} = \frac{4}{5}\)[/tex]
- Compare the fractions: [tex]\(\frac{4}{5} = \frac{4}{5}\)[/tex]
This proportion is true.
Since all proportions except [tex]\(\frac{18}{48} = \frac{30}{50}\)[/tex] (the first one) are true, it means the first proportion is the false statement.
1. Proportion: [tex]\(\frac{18}{48} = \frac{30}{50}\)[/tex]
- Calculate each fraction:
- [tex]\(\frac{18}{48} = \frac{3}{8}\)[/tex]
- [tex]\(\frac{30}{50} = \frac{3}{5}\)[/tex]
- Compare the fractions: [tex]\(\frac{3}{8} \neq \frac{3}{5}\)[/tex]
This proportion is false.
2. Proportion: [tex]\(\frac{25}{45} = \frac{50}{90}\)[/tex]
- Reduce each fraction:
- [tex]\(\frac{25}{45} = \frac{5}{9}\)[/tex]
- [tex]\(\frac{50}{90} = \frac{5}{9}\)[/tex]
- Compare the fractions: [tex]\(\frac{5}{9} = \frac{5}{9}\)[/tex]
This proportion is true.
3. Proportion: [tex]\(\frac{20}{50} = \frac{40}{100}\)[/tex]
- Simplify each fraction:
- [tex]\(\frac{20}{50} = \frac{2}{5}\)[/tex]
- [tex]\(\frac{40}{100} = \frac{2}{5}\)[/tex]
- Compare the fractions: [tex]\(\frac{2}{5} = \frac{2}{5}\)[/tex]
This proportion is true.
4. Proportion: [tex]\(\frac{12}{15} = \frac{20}{25}\)[/tex]
- Simplify each fraction:
- [tex]\(\frac{12}{15} = \frac{4}{5}\)[/tex]
- [tex]\(\frac{20}{25} = \frac{4}{5}\)[/tex]
- Compare the fractions: [tex]\(\frac{4}{5} = \frac{4}{5}\)[/tex]
This proportion is true.
Since all proportions except [tex]\(\frac{18}{48} = \frac{30}{50}\)[/tex] (the first one) are true, it means the first proportion is the false statement.
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