Question

Write the following fraction proportions as ratio proportions. \frac{5}

Ratios, rates, proportions
ANSWERED
asked 2021-09-19
Write the following fraction proportions as ratio proportions.
\(\displaystyle{\frac{{{5}}}{{{7}}}}={\frac{{{15}}}{{{21}}}}\)

Expert Answers (1)

2021-09-20
Consider the following proportion:
\(\displaystyle{\frac{{{5}}}{{{7}}}}={\frac{{{15}}}{{{21}}}}\)
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 \(\displaystyle{\frac{{{5}}}{{{7}}}}={\frac{{{15}}}{{{21}}}}\) into a ratio is,
\(\displaystyle{5}\div{7}={15}\div{21}\)
Therefore, the proportion in the form of a ratio is \(\displaystyle{5}\div{7}={15}\div{21}\).
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