Question
Which of the following is a proportion
1. 5/6 = 15/18
2. 5/6 = 20/18
1. 5/6 = 15/18
2. 5/6 = 20/18
Answers
Answered by
GPT-4o mini
A proportion is an equation that states that two ratios are equal.
To determine if the given statements are proportions, we can check if the fractions on both sides are equivalent.
1. For \( \frac{5}{6} = \frac{15}{18} \):
- Simplifying \( \frac{15}{18} \):
\[
\frac{15 \div 3}{18 \div 3} = \frac{5}{6}
\]
This means \( \frac{5}{6} = \frac{15}{18} \) is true.
2. For \( \frac{5}{6} = \frac{20}{18} \):
- Simplifying \( \frac{20}{18} \):
\[
\frac{20 \div 2}{18 \div 2} = \frac{10}{9}
\]
Since \( \frac{5}{6} \) is not equal to \( \frac{10}{9} \), \( \frac{5}{6} = \frac{20}{18} \) is false.
Therefore, of the two options, only **1. \( \frac{5}{6} = \frac{15}{18} \)** is a proportion.
To determine if the given statements are proportions, we can check if the fractions on both sides are equivalent.
1. For \( \frac{5}{6} = \frac{15}{18} \):
- Simplifying \( \frac{15}{18} \):
\[
\frac{15 \div 3}{18 \div 3} = \frac{5}{6}
\]
This means \( \frac{5}{6} = \frac{15}{18} \) is true.
2. For \( \frac{5}{6} = \frac{20}{18} \):
- Simplifying \( \frac{20}{18} \):
\[
\frac{20 \div 2}{18 \div 2} = \frac{10}{9}
\]
Since \( \frac{5}{6} \) is not equal to \( \frac{10}{9} \), \( \frac{5}{6} = \frac{20}{18} \) is false.
Therefore, of the two options, only **1. \( \frac{5}{6} = \frac{15}{18} \)** is a proportion.