# Write the following fraction proportions as ratio proportions. \frac{3}

facas9 2021-09-14 Answered
Write the following fraction proportions as ratio proportions.
$$\displaystyle{\frac{{{3}}}{{{4}}}}={\frac{{{75}}}{{{100}}}}$$

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## Expert Answer

2abehn
Answered 2021-09-15 Author has 23035 answers
Consider the following proportion:
$$\displaystyle{\frac{{{3}}}{{{4}}}}={\frac{{{75}}}{{{100}}}}$$
The objective is to write the given proportion in the form of a ratio.
If an equation showing the equality of two ratios, then the ratios are called as a proportion.
For example: $$\displaystyle{x}\div{y}={m}\div{n}$$ or $$\displaystyle{\frac{{{x}}}{{{y}}}}={\frac{{{m}}}{{{n}}}}$$
To write the proportion as a ratio, convert both the fractions in the form of a ratio, $$\displaystyle{A}\div{B}$$, without reducing the fractions to their lowest terms.
The conversion of $$\displaystyle{\frac{{{3}}}{{{4}}}}={\frac{{{75}}}{{{100}}}}$$ into a ratio is,
$$\displaystyle{3}\div{4}={75}\div{100}$$
Therefore, the proportion in the form of a ratio is $$\displaystyle{3}\div{4}={75}\div{100}$$.

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