Consider the following proportion:

\(\displaystyle{75}\div{100}={150}\div{200}\)

The objective is to write the given proportion in the form of a fraction.

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 fraction, convert both the ratios in the form of a fraction, \(\displaystyle{\frac{{{A}}}{{{B}}}}\), without reducing the ratios to their lowest terms.

The conversion of \(\displaystyle{75}\div{100}={150}\div{200}\) into a fraction is,

\(\displaystyle{\frac{{{75}}}{{{100}}}}={\frac{{{150}}}{{{200}}}}\)

Therefore, the proportion in the form of a ratio is \(\displaystyle{\frac{{{75}}}{{{100}}}}={\frac{{{150}}}{{{200}}}}\).

\(\displaystyle{75}\div{100}={150}\div{200}\)

The objective is to write the given proportion in the form of a fraction.

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 fraction, convert both the ratios in the form of a fraction, \(\displaystyle{\frac{{{A}}}{{{B}}}}\), without reducing the ratios to their lowest terms.

The conversion of \(\displaystyle{75}\div{100}={150}\div{200}\) into a fraction is,

\(\displaystyle{\frac{{{75}}}{{{100}}}}={\frac{{{150}}}{{{200}}}}\)

Therefore, the proportion in the form of a ratio is \(\displaystyle{\frac{{{75}}}{{{100}}}}={\frac{{{150}}}{{{200}}}}\).