Mathematics: Hmmmmmmmmmmmmmmmmmmmmmmm

oh wowStep-by-step explanation:that was a nice fact...

Hmmmmmmmmmmmmmmmmmmmmmmm - id5197013, accis

minideeri

19.01.2022

$\frac{7}{14}, \frac{20}{40}$

Step-by-step explanation:

Two fractions $\frac{a}{b}, \frac{c}{d}$ 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) $\frac{7}{14}, \frac{20}{40}$

We have:

$7=k\cdot 20 \rightarrow k=\frac{7}{20}\\14=k\cdot 40 \rightarrow k = \frac{14}{40}=\frac{7}{20}$

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

2) $\frac{18}{24},\frac{6}{12}$

We have:

$18=k\cdot 6 \rightarrow k=\frac{18}{6}=3\\24=k\cdot 12 \rightarrow k = \frac{24}{12}=2$

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

$\frac{6}{21}, \frac{2}{42}$

We have:

$6=k\cdot 2 \rightarrow k=\frac{6}{2}=3\\21=k\cdot 42 \rightarrow k = \frac{21}{42}=0.5$

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

$\frac{25}{100},\frac{50}{150}$

We have:

$25=k\cdot 50 \rightarrow k=\frac{25}{50}=0.5\\100=k\cdot 150 \rightarrow k = \frac{100}{150}=\frac{2}{3}$

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

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