The given proportion is thue or false. Given: 198=146

"The given proportion is thue or false. Given:..." solved and explained

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Chaya Galloway

Answered question

2021-08-14

The given proportion is thue or false. Given:

\frac{19}{8} = \frac{14}{6}

Answer & Explanation

odgovoreh

Skilled2021-08-15Added 107 answers

Proportion:
A proportion is a statement that two ratios or rates are equal.
If $\frac{a}{b}$ and $\frac{c}{d}$ are two ratios or rates, then $\frac{a}{b} = \frac{c}{d}$ is a proportion.
It can be read as "a is to b as c is to d"
$a \cdot d = b \cdot c$ is the set of cross products.
If the cross products are equal, then the proportion is true.
If the cross products are not equal, then the proportion is false.
Given proportions,
$\frac{19}{8} = \frac{14}{6}$
$19 \cdot 6 = 14 \cdot 8$
$114 \neq 112$
Here, the cross products are not equal.
Therefore, the given proportion is false.

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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