Answer:
[tex]\frac{25}{10} = \frac{5}{2}[/tex] is in proportion.
[tex]\frac{3}{4} = \frac{8}{10}[/tex] is not in proportion.
[tex]\frac{2}{8} = \frac{3}{12}[/tex] is in proportion.
[tex]\frac{3}{4} = \frac{15}{20}[/tex] is in proportion.
Step-by-step explanation:
The first example is [tex]\frac{25}{10} = \frac{5}{2}[/tex] and it is in proportion.
This is because, you will get the same simplest fraction ([tex]\frac{5}{2}[/tex]) from the fraction [tex]\frac{25}{10}[/tex] by dividing its numerator and denominator by 5.
The second example is [tex]\frac{3}{4} = \frac{8}{10}[/tex] and it is not in proportion.
This is because, you can not get the simplest fraction ([tex]\frac{3}{4}[/tex]) from the fraction [tex]\frac{8}{10}[/tex] after simplification.
The third example is [tex]\frac{2}{8} = \frac{3}{12}[/tex] and it is in proportion.
This is because, you will get the same simplest fraction ([tex]\frac{1}{4}[/tex]) from the fraction [tex]\frac{2}{8}[/tex] by dividing its numerator and denominator by 2 and from the fraction [tex]\frac{3}{12}[/tex] by dividing its numerator and denominator by 3.
The fourth example is [tex]\frac{3}{4} = \frac{15}{20}[/tex] and it is in proportion.
This is because, you will get the same simplest fraction ([tex]\frac{3}{4}[/tex]) from the fraction [tex]\frac{15}{20}[/tex] by dividing its numerator and denominator by 5. (Answer)
