Pregunta
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\( \frac{21}{6} \) simplifies to \( 3 \frac{1}{2} \), which is not equal to \( 3 \frac{1}{3} \).
Solución
1. Simplify the fraction \( \frac{21}{6} \):
- Both 21 and 6 are divisible by 3.
- Divide numerator and denominator by 3:
\[
\frac{21}{6} = \frac{21 \div 3}{6 \div 3} = \frac{7}{2}
\]
2. Convert \( \frac{7}{2} \) to a mixed number:
- Divide 7 by 2: \(7 \div 2 = 3\) with a remainder of 1.
- Therefore:
\[
\frac{7}{2} = 3 \frac{1}{2}
\]
3. Compare \( 3 \frac{1}{2} \) and \( 3 \frac{1}{3} \):
- \( 3 \frac{1}{2} = 3.5 \).
- \( 3 \frac{1}{3} = 3 + \frac{1}{3} \approx 3.333\ldots \).
Since \( 3.5 \neq 3.333\ldots \), the two expressions are not equal.
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Simplifique esta solución Mind Expander
Both \( \frac{21}{6} \) and \( 3 \frac{1}{3} \) represent the same value, which is \( 3.5 \). If you're in a math class, it can be fun to convert between improper fractions and mixed numbers. For instance, when you have \( \frac{21}{6} \), this can be simplified by dividing 21 by 6 to get 3 with a remainder of 3, leading to \( 3 \frac{3}{6} \), which simplifies to \( 3 \frac{1}{2} \)! An easy way to remember converting between these forms is to visualize pizza slices! If you have 21 slices (like \( \frac{21}{6} \)), think about how many whole pizzas you can make (3 full pizzas) and the leftover slices (1 slice). Playing with real-life examples can make it way more enjoyable! 🍕
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