### Ratios, Proportions, and Percents

#### Writing Ratios Using Different Notations

Question:

Write the following ratio using two other notations.

[tex]\[ 7:9 \][/tex]

Notation One:

Notation Two:



Answer :

Certainly! Let's explore how to write a given ratio in different notations.

### Original Ratio:
You are given the ratio:
[tex]\[ 7:9 \][/tex]

### Notation One: Fraction Notation
In fraction notation, a ratio is expressed as a fraction by placing the first number (numerator) over the second number (denominator). Therefore, the ratio \( 7:9 \) in fraction notation is:
[tex]\[ \frac{7}{9} \][/tex]

So, Notation one is:
[tex]\[ 7/9 \][/tex]

### Notation Two: "to" Notation
The "to" notation expresses the ratio in a way where the numbers are followed by the word "to." Thus, the ratio \( 7:9 \) in "to" notation is:
[tex]\[ 7 \text{ to } 9 \][/tex]

So, Notation two is:
[tex]\[ 7\text{ to }9 \][/tex]

### Summary:
We have converted the given ratio \( 7:9 \) into two different notations:
1. Fraction Notation: \( 7/9 \)
2. "to" Notation: [tex]\( 7 \text{ to } 9 \)[/tex]