Savage Johnson
02/03/2023 · Middle School
(7) Rodeá las fracciones equivalentes entre si. a. \( \left(1 \frac{1}{2}\right) \quad \frac{5}{4}\left(1+\frac{1}{4}+\frac{1}{4}\right) \frac{3}{8}+1 \quad \frac{3}{2} \) b. \( \frac{3}{8} \quad \frac{1}{2}+\frac{1}{4} \quad \frac{3}{4} \quad 1-\frac{1}{4} \quad \frac{5}{8} \)
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Step-by-step Solution
Para identificar las fracciones equivalentes en cada conjunto, vamos a simplificar y comparar las fracciones.
a.
1. \( 1 \frac{1}{2} = \frac{3}{2} \)
2. \( \frac{5}{4} \)
3. \( 1 + \frac{1}{4} + \frac{1}{4} = 1 + \frac{2}{4} = 1 + \frac{1}{2} = \frac{3}{2} \)
4. \( \frac{3}{8} + 1 = \frac{3}{8} + \frac{8}{8} = \frac{11}{8} \)
5. \( \frac{3}{2} \)
Las fracciones equivalentes son:
- \( 1 \frac{1}{2} \) (que es \( \frac{3}{2} \))
- \( 1 + \frac{1}{4} + \frac{1}{4} \) (que también es \( \frac{3}{2} \))
- \( \frac{3}{2} \)
b.
1. \( \frac{3}{8} \)
2. \( \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \)
3. \( \frac{3}{4} \)
4. \( 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \)
5. \( \frac{5}{8} \)
Las fracciones equivalentes son:
- \( \frac{1}{2} + \frac{1}{4} \) (que es \( \frac{3}{4} \))
- \( \frac{3}{4} \)
- \( 1 - \frac{1}{4} \) (que también es \( \frac{3}{4} \))
Resumiendo:
a. Las fracciones equivalentes son \( 1 \frac{1}{2}, \frac{3}{2}, \) y \( 1 + \frac{1}{4} + \frac{1}{4} \).
b. Las fracciones equivalentes son \( \frac{1}{2} + \frac{1}{4}, \frac{3}{4}, \) y \( 1 - \frac{1}{4} \).
Quick Answer
a. Las fracciones equivalentes son \( 1 \frac{1}{2}, \frac{3}{2}, \) y \( 1 + \frac{1}{4} + \frac{1}{4} \).
b. Las fracciones equivalentes son \( \frac{1}{2} + \frac{1}{4}, \frac{3}{4}, \) y \( 1 - \frac{1}{4} \).
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