Question
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a) \( 0,25=\frac{1}{x} \)

Ask by Howell Spencer. in Sweden
Jan 23,2025

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Tutor-Verified Answer

Answer

\( x = 4 \)

Solution

För att lösa ekvationen \( 0,25 = \frac{1}{x} \) följer vi dessa steg: 1. **Skriv om ekvationen för att lösa ut \( x \):** \[ 0,25 = \frac{1}{x} \] 2. **Ta inversen på båda sidor av ekvationen för att isolera \( x \):** \[ \frac{1}{0,25} = x \] 3. **Beräkna värdet:** \[ x = 4 \] **Svar:** \( x = 4 \)

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To solve for \( x \), you can start by rewriting the equation. Multiplying both sides by \( x \) gives you \( 0.25x = 1 \). Next, divide both sides by \( 0.25 \) to isolate \( x \). This simplifies to \( x = \frac{1}{0.25} \), which equals \( 4 \). So, the solution is \( x = 4 \)! Now, if you're wondering how to quickly convert decimals to fractions or the other way around, just remember that \( 0.25 \) equals \( \frac{25}{100} \), which simplifies to \( \frac{1}{4} \). Knowing this can be super handy in math problems where fractions and decimals are involved.

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