Answer:
[tex]Percent = \frac{100a}{b}\%[/tex]
Step-by-step explanation:
Given
[tex]\frac{a}{b}[/tex]
Required
Convert to fraction
To do this, we simply multiply the fraction by 100%
This gives:
[tex]Percent = \frac{a}{b} * 100\%[/tex]
[tex]Percent = \frac{a * 100}{b}\%[/tex]
[tex]Percent = \frac{100a}{b}\%[/tex]
The expression cannot be further simplified.
Take for instance the fraction is: [tex]\frac{2}{5}[/tex]
Using the same analysis, the percentage would be:
[tex]Percent = \frac{2}{5} * 100\%[/tex]
[tex]Percent = \frac{2 * 100}{5}\%[/tex]
[tex]Percent = \frac{200}{5}\%[/tex]
[tex]Percent = 40\%[/tex]
