Respuesta :
Answer:
Three equivalent ratios of [tex]\frac{14}{2}[/tex] are [tex]\frac{7}{1}[/tex], [tex]\frac{21}{3}[/tex] and [tex]\frac{28}{8}[/tex].
Step-by-step explanation:
We are given a fraction [tex]\frac{14}{2}[/tex].
We need to find the three equivalent ratios/fractions of [tex]\frac{14}{2}[/tex].
The common factor of 14 and 2 is 2.
So, dividing top and bottom by 2, we get
14÷2 = 7 and 2÷2 that is [tex]\frac{7}{1}[/tex].
Multiplying [tex]\frac{7}{1}[/tex] fraction by a common number 3 in top and bottom, we get
7 × 3 = 21
1 × 3 = 6
So, we get another equivalent fraction [tex]\frac{21}{6}[/tex].
Multiplying [tex]\frac{7}{1}[/tex] fraction by a common number 3 in top and bottom, we get
7 × 4 = 28
1 × 4 = 4
So, we get another equivalent fraction [tex]\frac{28}{4}[/tex].
Therefore, three equivalent ratios of [tex]\frac{14}{2}[/tex] are [tex]\frac{7}{1}[/tex], [tex]\frac{21}{3}[/tex] and [tex]\frac{28}{4}[/tex].
