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last week charlotte and her roommates ate 3/8 of a carton of yogurt, an…

Question

last week charlotte and her roommates ate 3/8 of a carton of yogurt, and this week they ate 1/2 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. cartons

Explanation:

Step1: Convert to common denominator

To subtract the fractions, we need a common denominator. The denominator of \(\frac{1}{2}\) is 2, and we can convert it to eighths (since 8 is a multiple of 2). Multiply numerator and denominator of \(\frac{1}{2}\) by 4: \(\frac{1\times4}{2\times4}=\frac{4}{8}\).

Step2: Subtract the fractions

Now subtract the amount eaten last week (\(\frac{3}{8}\)) from this week (\(\frac{4}{8}\)): \(\frac{4}{8}-\frac{3}{8}=\frac{4 - 3}{8}=\frac{1}{8}\).

Answer:

\(\frac{1}{8}\)