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Question

asked Mar 24, 2021 89.2k views

2 Answers

Marcello Di Simone · Answer 1 · 2021-03-30T03:41:01+0000

Answer:

(7)/(14), (20)/(40)

Explanation:

Two fractions
(a)/(b), (c)/(d) are said to be proportional to each when there exists a number
such that

$c=ka\\d=kb$

So k must be the same for both equations.

Let's analyze the 4 pairs of fractions:

1)
(7)/(14), (20)/(40)

We have:

$7=k\cdot 20 \rightarrow k=(7)/(20)\\14=k\cdot 40 \rightarrow k = (14)/(40)=(7)/(20)$

k is the same, so these two fractions are proportional.

2)
(18)/(24),(6)/(12)

We have:

$18=k\cdot 6 \rightarrow k=(18)/(6)=3\\24=k\cdot 12 \rightarrow k = (24)/(12)=2$

k is NOT the same, so these two fractions are NOT proportional.

3)

(6)/(21), (2)/(42)

We have:

$6=k\cdot 2 \rightarrow k=(6)/(2)=3\\21=k\cdot 42 \rightarrow k = (21)/(42)=0.5$

k is NOT the same, so these two fractions are NOT proportional.

4)

(25)/(100),(50)/(150)

We have:

$25=k\cdot 50 \rightarrow k=(25)/(50)=0.5\\100=k\cdot 150 \rightarrow k = (100)/(150)=(2)/(3)$

k is NOT the same, so these two fractions are NOT proportional.