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 \(\displaystyle{5}\div{7}={15}\div{21}\).

\(\displaystyle{\frac{{{5}}}{{{7}}}}={\frac{{{15}}}{{{21}}}}\)

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 \(\displaystyle{5}\div{7}={15}\div{21}\).