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26. \( \frac{3}{4}=j-\frac{1}{2} \)

Ask by Li Johnston. in the United States
Mar 18,2025

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Answer

\( j = 1.25 \)

Solution

Solve the equation \( 3/4=j-1/2 \). Solve the equation by following steps: - step0: Solve for \(j\): \(\frac{3}{4}=j-\frac{1}{2}\) - step1: Swap the sides: \(j-\frac{1}{2}=\frac{3}{4}\) - step2: Move the constant to the right side: \(j=\frac{3}{4}+\frac{1}{2}\) - step3: Add the numbers: \(j=\frac{5}{4}\) The solution to the equation \( \frac{3}{4} = j - \frac{1}{2} \) is \( j = \frac{5}{4} \) or \( j = 1.25 \).

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To solve for \( j \), start by isolating \( j \) in the equation \( \frac{3}{4} = j - \frac{1}{2} \). You can do this by adding \( \frac{1}{2} \) to both sides. So, you rewrite the equation as \( j = \frac{3}{4} + \frac{1}{2} \). To add the fractions, convert \( \frac{1}{2} \) to have a common denominator of 4, which is \( \frac{2}{4} \). Thus, \( j = \frac{3}{4} + \frac{2}{4} = \frac{5}{4} \). So, \( j \) is \( \frac{5}{4} \) or 1.25. Just like that, you’ve crunched some numbers and found \( j \)! Remember, when you're working with fractions, finding a common denominator is your best friend, and staying organized with neat calculations makes everything clearer. Keep practicing, and soon, these will be second nature to you!

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