Are the ratios

25/45
and
15/27
proportional? Explain.

well, does

45*15 = 25*27 ??

what number is both 25 and 45 divisible by? 5

25÷5=5, 45÷5=9, or 5/9
what number is both 15 and 27 divisible by? 3
but why not 5?
27÷5 is not rational, therefore it it 3 since 3 can go into 15 and 27
15÷3=5, 27÷3=9, or 5/9
so yes, they are both proportional

whats your answer

Whats the answer!?

To determine if two ratios are proportional, we need to compare them by simplifying both ratios to their simplest form. If the simplified ratios are the same, then the original ratios are proportional. Let's simplify the given ratios:

To simplify 25/45, we can first divide both numerator (top number) and denominator (bottom number) by their common factor 5. After dividing, we get 5/9.

To simplify 15/27, we can again divide both numerator and denominator by their common factor 3. After dividing, we get 5/9.

Now, we can compare the simplified ratios: 5/9 and 5/9. Since the simplified ratios are the same (both are 5/9), we can conclude that the original ratios 25/45 and 15/27 are indeed proportional.