# How do you determine which of the fractions 17/20 or 21/25 is greater and by how much?

May 14, 2018

$\frac{17}{20}$ is greater by $\frac{1}{100}$

#### Explanation:

Put them over the same denominator using equivalent fractions

$\frac{17}{20} = \frac{85}{100}$

$\frac{21}{25} = \frac{84}{100}$

May 14, 2018

$\frac{17}{20}$ is bigger than $\frac{21}{25}$ by $\frac{1}{100}$

#### Explanation:

Subtract the fractions.
If you get a positive answer the first one is bigger, if you get a negative answer, the second one is bigger.

To subtract them you need the LCD which is $100$ in this case.

$\frac{17}{20} - \frac{21}{25}$

$= \frac{85 - 84}{100}$

$= \frac{1}{100}$

$\therefore \frac{17}{20}$ is bigger than $\frac{21}{25}$ by $\frac{1}{100}$