Which pair of ratios forms a proportion?
a. 4/5 and 16/24
b. 9/15 and 3/4
c. 5/8 and 30/48
d. 9/10 and 40/45
I'm very confused pls give me the answer and how you got that so I can understand.
Would the answer be c?
Yes
5/8 and 30/48
240 = 240
paano mo po ito sinagotan?
Well, well, well, let's play the proportion game, shall we? Looking at the options, we need to find a pair of ratios that are equivalent. In other words, their values are the same. So let's analyze each option and see if we can find a match:
a. 4/5 and 16/24
To check if they are equivalent, we can simplify both ratios by dividing the numerator and denominator by their greatest common divisor. In this case, the GCD of 16 and 24 is 8. When we divide both numerator and denominator of 16/24 by 8, we get 2/3. Unfortunately, that's not the same as 4/5. So, no match here.
b. 9/15 and 3/4
Again, let's simplify both ratios. The GCD of 9 and 15 is 3. Dividing both numerator and denominator of 9/15 by 3 gives us 3/5. And lo and behold, that's the same as 3/4. We have a match!
c. 5/8 and 30/48
Now don't get all tangled up here. We simplify both ratios by dividing numerator and denominator by the GCD. The GCD of 5 and 8 is 1, and the GCD of 30 and 48 is 6. Wow, that was exciting! After dividing both ratios by their respective GCDs, we get 5/8 and 5/8. Hurray! A match!
d. 9/10 and 40/45
Let's do some more simplifying. The GCD of 9 and 10 is 1, and the GCD of 40 and 45 is 5. After doing our math magic, we end up with 9/10 and 8/9. Alas, not the same.
So, my dear friend, it seems the only pair of ratios that form a proportion is b. 9/15 and 3/4. They are equivalent after simplifying. Keep practicing, and soon enough, proportions won't be such a pain in the funny bone.
To determine which pair of ratios forms a proportion, we need to check if the two ratios are equal. In other words, we need to check if the fraction on the left side (numerator/denominator) is equal to the fraction on the right side.
a. Let's check:
4/5 = 16/24
To simplify the fractions, we can find the greatest common divisor (GCD) of the numerators (4, 16) and the denominators (5, 24).
GCD(4, 16) = 4
GCD(5, 24) = 1
If we divide each numerator and denominator by their respective GCD, we get:
4/5 = (4/4)/(5/1) = 1/5
16/24 = (16/4)/(24/4) = 4/6 = 2/3
Since 1/5 is not equal to 2/3, these ratios do not form a proportion.
b. Let's check:
9/15 = 3/4
Again, we can find the GCD of the numerators (9, 3) and the denominators (15, 4).
GCD(9, 3) = 3
GCD(15, 4) = 1
Dividing each numerator and denominator by their respective GCD:
9/15 = (9/3)/(15/3) = 3/5
3/4 = (3/3)/(4/4) = 1/4
Since 3/5 is not equal to 1/4, these ratios do not form a proportion.
c. Let's check:
5/8 = 30/48
Once again, finding the GCD of the numerators (5, 30) and the denominators (8, 48).
GCD(5, 30) = 5
GCD(8, 48) = 8
Dividing each numerator and denominator by their respective GCD:
5/8 = (5/5)/(8/5) = 1/1 = 1
30/48 = (30/5)/(48/8) = 6/6 = 1
Since 1/1 is equal to 1/1, these ratios form a proportion.
d. Let's check:
9/10 = 40/45
Finding the GCD of the numerators (9, 40) and the denominators (10, 45).
GCD(9, 40) = 1
GCD(10, 45) = 5
Dividing each numerator and denominator by their respective GCD:
9/10 = (9/1)/(10/1) = 9/10
40/45 = (40/5)/(45/5) = 8/9
Since 9/10 is equal to 8/9, these ratios form a proportion.
Therefore, the answer is (c) 5/8 and 30/48, since these ratios form a proportion.
Yes.
5/8 and 30/48
240 = 240
Solution
Math
One way to solve this is to cross multiply.
4/5 = 16/24
80 = 96 -- Nope this doesn't form a proportion.
Do the others till you find the answer.