Gross Dunn
04/20/2023 · Senior High School
Fill in the blanks so that the following statement is true. The fractions in the equation \( \frac{x}{4}=3+\frac{x-4}{7} \) can be eliminated by multiplying both sides by the 0 of 1 The fractions in the equation \( \frac{x}{4}=3+\frac{x-4}{7} \) can be eliminated by multiplying both sides by the \( \square \frac{x}{4} \) and \( \frac{x-4}{7} \), which is Thes of \( \frac{x}{4} \) and \( \frac{x-4}{7} \), which is
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Step-by-step Solution
To eliminate the fractions in the equation \( \frac{x}{4} = 3 + \frac{x-4}{7} \), we need to find a common multiple of the denominators, which are 4 and 7.
The least common multiple (LCM) of 4 and 7 is 28. Therefore, we can multiply both sides of the equation by 28 to eliminate the fractions.
So, the completed statement would be:
The fractions in the equation \( \frac{x}{4}=3+\frac{x-4}{7} \) can be eliminated by multiplying both sides by the **least common multiple** of \( \frac{x}{4} \) and \( \frac{x-4}{7} \), which is **28**.
Quick Answer
The fractions can be eliminated by multiplying both sides by the least common multiple of the denominators, which is 28.
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