Respuesta :
Answer:
[tex]\frac{14}{18}[/tex] is one equivalent ratio
Step-by-step explanation:
Given the ratio
[tex]\frac{7}{9}[/tex] ← in simplest form
Then to obtain equivalent ratios
Multiply the numerator/ denominator by the same value, that is
[tex]\frac{7(2)}{9(2)}[/tex] = [tex]\frac{14}{18}[/tex]
The equivalent ratios of 7/9 are 14/18, 21/27, 28/36, and 35/45.
We have to determine, what is the ratio that is equivalent to 7/9.
According to the question,
An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer,
To find the equivalent ratio of 7/9 following all the steps given below.
- Step1; Multiply numerator and denominator by 2 to get an equivalent fraction.
[tex]\dfrac{7}{9} \times \dfrac{2}{2} = \dfrac{14}{18}[/tex]
- Step2; Multiply numerator and denominator by 3 to get an equivalent fraction.
[tex]\dfrac{7}{9} \times \dfrac{3}{3} = \dfrac{21}{27}[/tex]
- Step3; Multiply numerator and denominator by 4 to get an equivalent fraction.
[tex]\dfrac{7}{9} \times \dfrac{4}{4} = \dfrac{28}{36}[/tex]
- Step4; Multiply numerator and denominator by 5 to get an equivalent fraction.
[tex]\dfrac{7}{9} \times \dfrac{5}{5} = \dfrac{35}{45}[/tex]
Hence, The required equivalent ratios of 7/9 are 14/18, 21/27, 28/36 and 35/45.
To know more about Equivalent fractions click the link given below.
https://brainly.com/question/21620502
