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