7/9 and 7/20 which one is greater? (Explain)

Thanks!

Turn these into equivalent decimals by dividing the numerator by the denominator. Now they look like money so are easy to figure out which is greater.

So its 7/9?

If you divide a cake into 9 pieces, or 20 pieces, which way gives larger pieces?

WOW... Thank you!

You are welcome.

Yes.

To determine which fraction is greater, we can compare their numerical values.

To compare fractions with different denominators, we need to find a common denominator. In this case, the smallest common denominator for 9 and 20 is 180, which is their least common multiple.

To convert 7/9 to a fraction with a denominator of 180, we multiply both the numerator and denominator by 20:
(7/9) * (20/20) = 140/180

To convert 7/20 to a fraction with a denominator of 180, we multiply both the numerator and denominator by 9:
(7/20) * (9/9) = 63/180

Now that both fractions have the same denominator, we can simply compare their numerators.

140/180 is greater than 63/180. Therefore, 7/9 is greater than 7/20.

So, 7/9 is the larger fraction.