Last week Danielle and her roommates ate 2/5 of a carton of yoghurt, and this week they ate 9/10 of a carton. How much more yoghurt did they eat this week compared to last week?Write your answer as a fraction or as a whole or mixed number.
Question
Last week Danielle and her roommates ate 2/5 of a carton of yoghurt, and this week they ate 9/10 of a carton. How much more yoghurt did they eat this week compared to last week?Write your answer as a fraction or as a whole or mixed number.
Solution
This week Danielle and her roommates ate 9/10 of a carton of yoghurt, and last week they ate 2/5 of a carton. To find out how much more yoghurt they ate this week compared to last week, you need to subtract the fraction of the yoghurt they ate last week from the fraction they ate this week.
Here's how you do it:
Step 1: Convert the fractions to have the same denominator. The least common denominator of 10 and 5 is 10. So, convert 2/5 to 4/10.
Step 2: Subtract the fraction of the yoghurt they ate last week (4/10) from the fraction they ate this week (9/10).
9/10 - 4/10 = 5/10
Step 3: Simplify the fraction. 5/10 simplifies to 1/2.
So, Danielle and her roommates ate 1/2 of a carton more yoghurt this week compared to last week.
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