Last week Jackson and his roommates ate 1 3/4 cartons of yogurt, and this week they ate 3 2/3 cartons. 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.
cartons
To find out how much more yogurt was eaten this week compared to last week, we can subtract the amount eaten last week from the amount eaten this week.
Last week: 1 3/4 cartons
This week: 3 2/3 cartons
To subtract the fractions, we need to have a common denominator.
The common denominator of 4 and 3 is 12.
1 3/4 = 7/4 in terms of twelfths
3 2/3 = 11/3 in terms of twelfths
Now we can subtract the fractions:
11/3 - 7/4
To find a common denominator, multiply the denominators: 3 * 4 = 12
The fractions can now be written with the common denominator:
11/3 * 4/4 - 7/4 * 3/3
= 44/12 - 21/12
Now we can subtract the numerators:
44/12 - 21/12 = 23/12
Therefore, Jackson and his roommates ate 23/12 more cartons of yogurt this week compared to last week.