Which of the following statements is true?
[tex]24 \times \frac{4}{4}[/tex]
A. The product will be greater than 24.
B. The product will be equal to 24.
C. The product will be less than 24
Answer (2)
Simplify the fraction: 4 4 = 1 .
Multiply 24 by the simplified fraction: $24
times 1 = 24$.
Compare the result to 24: The product is equal to 24.
The product will be equal to 24. T h e p ro d u c tw i ll b ee q u a lt o 24 .
Explanation
Understanding the Problem We are given the expression $24
times
\frac{4}{4}$. We need to determine if the product is greater than, equal to, or less than 24.
Simplifying the Fraction First, we simplify the fraction 4 4 . Since any number divided by itself is 1, we have 4 4 = 1
Multiplying by 1 Next, we multiply 24 by the simplified fraction, which is 1: 24 t im es 1 = 24
Comparing the Result Finally, we compare the result, 24, to the original number, 24. Since they are the same, the product is equal to 24.
Examples
Imagine you're baking a cake and the recipe calls for 4 4 (which is 1) cup of sugar for every 24 servings. If you simplify 4 4 to 1, you realize you're just using 1 cup of sugar for every 24 servings. This problem demonstrates that multiplying by a fraction equal to 1 doesn't change the original quantity, which is a useful concept in cooking, measurements, and scaling recipes.
The product of 24 × 4 4 is equal to 24 because 4 4 simplifies to 1. Therefore, the correct option is B. The product will be equal to 24.
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