Hello!
As you can see, we have 12 dogs and 9 cats. This ratio can be written below.
12:9
As you can see, we can divide both sides by 3, giving us a simplified ratio.
4:3
I hope this helps!
The ratio of number of dogs to the number of cats is [tex]\boxed{\bf \frac{4}{3}}[/tex].
Further explanation:
Concept used:
The ratio of two quantities is defined as the fraction of first quantity to second quantity.
Given:
The number of dogs in the given figure is [tex]12[/tex].
The number of cats in the given figure is [tex]9[/tex].
Calculation:
The ratio of number of dogs to the number of cats can be obtained by the given formula.
[tex]\boxed{{\text{R}}=\frac{{{\text{number of dogs}}}}{{{\text{number of cats}}}}}[/tex]
Here, [tex]\text{R}[/tex] is the ratio of number of dogs to the number of cats.
Substitute [tex]12[/tex] for number of dogs and [tex]9[/tex] for number of cats in the above equation to obtain the ratio of the number of dogs to number of cats.
[tex]\boxed{\text{R}=\dfrac{{12}}{9}}[/tex]
Further solve the above equation to obtain the ratio of number of dogs to number of cats by dividing the numerator and denominator by [tex]3[/tex].
[tex]\begin{aligned}{\text{R}}&=\frac{{\frac{{12}}{3}}}{{\frac{9}{3}}}\\&=\frac{4}{3}\\\end{aligned}[/tex]
Therefore, the ratio of dogs and cat is [tex]\boxed{\bf \frac{4}{3}}[/tex].
Learn more:
1. Solution of linear equation ://brainly.com/question/1682776
2. Division: https://brainly.com/question/545132
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Ratio and proportion
Keywords: Equations, numerator, denominator, dogs, cats, ratio, solutions, proportion, divide, addition, subtraction, multiplication, fraction, 4/3, 3/4.
