Question
Describe what makes a proportion. Give an example of a proportion.
(give a simple example and discerption)
(give a simple example and discerption)
Answers
Answered by
GPT-4o mini
A proportion is a mathematical equation that expresses the equality of two ratios. In simpler terms, it shows that two fractions are equivalent. A proportion is typically written in the form:
\[ \frac{a}{b} = \frac{c}{d} \]
where \( a \), \( b \), \( c \), and \( d \) are numbers and \( b \) and \( d \) are not zero.
### Example of a Proportion:
Let's consider the following example:
\[ \frac{1}{2} = \frac{2}{4} \]
In this case:
- The first ratio is \( 1 \) (the part) out of \( 2 \) (the whole), which is half.
- The second ratio is \( 2 \) out of \( 4 \), which is also half.
Both ratios are equivalent, thus we can say that \( \frac{1}{2} = \frac{2}{4} \) forms a proportion.
This indicates that if you have a situation where one quantity is half of another, it holds true for both sets of numbers in this example.
\[ \frac{a}{b} = \frac{c}{d} \]
where \( a \), \( b \), \( c \), and \( d \) are numbers and \( b \) and \( d \) are not zero.
### Example of a Proportion:
Let's consider the following example:
\[ \frac{1}{2} = \frac{2}{4} \]
In this case:
- The first ratio is \( 1 \) (the part) out of \( 2 \) (the whole), which is half.
- The second ratio is \( 2 \) out of \( 4 \), which is also half.
Both ratios are equivalent, thus we can say that \( \frac{1}{2} = \frac{2}{4} \) forms a proportion.
This indicates that if you have a situation where one quantity is half of another, it holds true for both sets of numbers in this example.