Last week Christina and her roommates ate 7/10 of a carton of yogurt, and this week they ate 3/4 of a carton. How much more yogurt did they eat this week compared to last week?Write your answer as a fraction or as a whole or mixed number.

To find out how much more yogurt Christina and her roommates ate this week compared to last week, you need to subtract the fraction of the yogurt they ate last week from the fraction of the yogurt they ate this week.

Here are the steps:

1. Convert the fractions to have the same denominator so you can subtract them. The least common denominator between 10 (from 7/10) and 4 (from 3/4) is 20.

2. Convert 7/10 to a fraction with 20 as the denominator. To do this, multiply both the numerator (7) and the denominator (10) by 2. This gives you 14/20.

3. Convert 3/4 to a fraction with 20 as the denominator. To do this, multiply both the numerator (3) and the denominator (4) by 5. This gives you 15/20.

4. Now that both fractions have the same denominator, you can subtract them. Subtract 14/20 (the amount of yogurt they ate last week) from 15/20 (the amount of yogurt they ate this week). This gives you 1/20.

So, Christina and her roommates ate 1/20 of a carton more yogurt this week compared to last week.