given the proportion a/b=5/19, what ratio completes the equivalent proportion a/5= / ?
a. a/19
b. b/19
c. 5/19
d. 19/b
c. b/19
To complete the equivalent proportion a/5= / ?, we can cross-multiply the given proportion a/b = 5/19.
Cross-multiplying, we get a * 19 = 5b.
Now, to find the missing ratio in the proportion a/5= / ?, we need to isolate the missing term.
Dividing both sides of the equation by 5, we get a/5 = b/19.
Hence, the missing ratio is b/19.
Therefore, the answer is b. b/19.
To find the missing ratio that completes the equivalent proportion a/5= / , we need to use the given proportion a/b = 5/19.
First, let's break down the given proportion:
a/b = 5/19
Next, we can cross-multiply:
19a = 5b
Now, let's work on finding the missing ratio a/5:
To keep the proportion equivalent, we need to keep the same relationship between a and b. So, we divide both sides of the equation by 5:
(19/5)a = b
Now, we can substitute this value of b into the missing ratio a/5:
a/5 = a/((19/5)a)
Simplifying further:
a/5 = 1/(19/5)
To divide by a fraction, we multiply by its reciprocal:
a/5 = 1/(19/5) = 1 * (5/19) = 5/19
Therefore, the missing ratio that completes the equivalent proportion a/5= / is c. 5/19.
Answer: c. 5/19