9. In a birthday party, Celine ate 3 12 1 whole cake while Margot ate of the same cake. What fraction of the whole cake did they eat altogether? A) 1/10 (14 B) 3/1 of the C) To 16 D) 1/12
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9. In a birthday party, Celine ate 3 12 1 whole cake while Margot ate of the same cake. What fraction of the whole cake did they eat altogether? A) 1/10 (14 B) 3/1 of the C) To 16 D) 1/12
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Answer:
B) 3/1
Step-by-step explanation:
To find the fraction of the whole cake that Celine and Margot ate altogether, we need to calculate the total amount they consumed and express it as a fraction of the whole cake.
Celine ate 3/12 (or 1/4) of the cake.
Margot ate 1/12 of the cake.
To find the total amount they ate, we add these fractions:
1/4 + 1/12
To add these fractions, we need to find a common denominator. The least common multiple of 4 and 12 is 12. So, we can rewrite the fractions with a common denominator:
3/12 + 1/12
Now, we can add the numerators together while keeping the common denominator:
(3 + 1)/12 = 4/12
Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 4), we get:
4/12 = 1/3
Therefore, Celine and Margot ate a total of 1/3 of the whole cake. The answer is option B) 3/1 of the.