Pregunta
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Today is Jasmine's birthday. She got to eat \( \frac{1}{4} \) of her cake, but then her friends ate the rest! Jasmine is disappointed that the whole cake is gone and wants to know how much her friends ate. Use an equation to find what portion of the cake her friends ate. To write a fraction, use a slash ( / ) to separate the numerator and denominator. Her friends ate Submit

Ask by Potter Cervantes. in the United States
Dec 03,2024

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Her friends ate \( \frac{3}{4} \) of the cake.

Solución

To find out how much of the cake Jasmine's friends ate, we can set up the equation based on the total amount of cake. Let \( C \) represent the whole cake, which can be considered as 1 (or \( \frac{1}{1} \)). Jasmine ate \( \frac{1}{4} \) of the cake. Therefore, the portion of the cake that her friends ate can be calculated as follows: \[ \text{Portion eaten by friends} = C - \text{Portion eaten by Jasmine} \] Substituting the values we have: \[ \text{Portion eaten by friends} = 1 - \frac{1}{4} \] To perform the subtraction, we can convert 1 into a fraction with a denominator of 4: \[ 1 = \frac{4}{4} \] Now we can subtract: \[ \text{Portion eaten by friends} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \] Thus, Jasmine's friends ate \( \frac{3}{4} \) of the cake. So, her friends ate \( \frac{3}{4} \).

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Bonus Knowledge

Jasmine initially had a whole cake, which we can represent as 1 (or \( \frac{1}{1} \)). Since she ate \( \frac{1}{4} \) of the cake, we can determine how much of the cake her friends ate by subtracting the portion she ate from the whole. So, the equation is: \[ 1 - \frac{1}{4} \] To solve this, we can convert 1 into a fraction with a denominator of 4, which gives us \( \frac{4}{4} \). Thus, we have: \[ \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \] Her friends ate \( \frac{3}{4} \) of the cake!

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