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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