Question

Which of the following, Option 1 or Option 2, is a proportion?

Option 1: 56=1518
5
6
=
15
18


Option 2: 56=2018

Answer 1

To determine which option represents a proportion, we need to understand that a proportion is an equation that states that two ratios are equal.

**Option 1:**
It appears to be written as:
\[
\frac{5}{6} = \frac{15}{18}
\]

To check if this is a proportion, we can simplify both fractions.

- Simplifying \(\frac{15}{18}\):
\[
\frac{15 \div 3}{18 \div 3} = \frac{5}{6}
\]

Since both sides simplify to \(\frac{5}{6}\), Option 1 is indeed a proportion.

**Option 2:**
It is written as:
\[
\frac{5}{6} = \frac{20}{18}
\]

Now we simplify \(\frac{20}{18}\):
\[
\frac{20 \div 2}{18 \div 2} = \frac{10}{9}
\]

Since \(\frac{5}{6}\) is not equal to \(\frac{10}{9}\), Option 2 is not a proportion.

So, **Option 1** is the proportion.