Question
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Write \( \frac{28}{20} \) as a mixed number.

Ask by Bush Hills. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

\( 1\,\frac{2}{5} \)

Solution

To convert the improper fraction \( \frac{28}{20} \) into a mixed number, follow these steps: 1. **Divide the numerator by the denominator:** \[ 28 \div 20 = 1 \text{ with a remainder of } 8 \] 2. **Express the remainder as a fraction:** \[ \frac{8}{20} \] 3. **Simplify the fractional part:** \[ \frac{8}{20} = \frac{2}{5} \quad (\text{dividing numerator and denominator by } 4) \] 4. **Combine the whole number with the simplified fraction:** \[ 1 \frac{2}{5} \] **Final Answer:** \( 1\,\frac{2}{5} \)

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The Deep Dive

To convert \( \frac{28}{20} \) into a mixed number, first divide the numerator (28) by the denominator (20). When you do this, \( 28 \div 20 = 1 \) with a remainder of 8. So, the whole number part is 1. The remainder is what goes over the original denominator, giving you \( \frac{8}{20} \). This fraction can be simplified to \( \frac{2}{5} \). Therefore, as a mixed number, \( \frac{28}{20} \) is \( 1 \frac{2}{5} \). Isn't it fascinating how fractions can be converted into mixed numbers? This concept has roots in ancient civilizations, where they also needed to express quantities that weren't whole numbers, like dividing a pizza or sharing candy! If you ever find yourself struggling with mixed numbers, remember to simplify your fractions. A common mistake is forgetting to reduce, which means you might not write the simplest form! Always check if the numerator and denominator can be divided by the same number for simplification.

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