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Write 2.016 as a mixed number and as an improper fraction. Write your answers in simplest form. mixed number: \( \square \) improper fraction: \( \square \)

Ask by Tucker Vega. in the United States
Feb 20,2025

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Answer

Mixed number: \(2\frac{2}{125}\) Improper fraction: \(\frac{252}{125}\)

Solution

Calculate or simplify the expression \( 2.016 \). Numbers by following steps: - step0: Solution: \(2.016\) The mixed number form of 2.016 is \(2\frac{2}{125}\) and the improper fraction form is \(\frac{252}{125}\).

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To convert 2.016 into a mixed number, we take the whole number part, which is 2, and then we focus on the decimal part, 0.016. This can be expressed as \(\frac{16}{1000}\) in fraction form. Simplifying \(\frac{16}{1000}\) gives us \(\frac{2}{125}\). Therefore, the mixed number is \(2 \frac{2}{125}\). Now, as an improper fraction, we combine the whole number and the fraction: \(2 \times 125 + 2 = 250 + 2 = 252\). This gives us \(\frac{252}{125}\). So, the answers are: mixed number: \( 2 \frac{2}{125} \) improper fraction: \( \frac{252}{125} \)

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