Question
4. \( \frac{2}{5}+\frac{3}{5}+\frac{8}{5}+1 \frac{2}{5} \)
Ask by Mathis Lang. in Mexico
Mar 08,2025
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Tutor-Verified Answer
Answer
La respuesta es \(4\).
Solution
1. Primero, expresamos el número mixto \(1 \frac{2}{5}\) como fracción impropia:
\[
1 \frac{2}{5} = 1 + \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5}.
\]
2. La suma completa se convierte en:
\[
\frac{2}{5} + \frac{3}{5} + \frac{8}{5} + \frac{7}{5}.
\]
3. Como todas las fracciones tienen el mismo denominador, sumamos los numeradores:
\[
2 + 3 + 8 + 7 = 20.
\]
Así, la suma es:
\[
\frac{20}{5}.
\]
4. Simplificamos la fracción:
\[
\frac{20}{5} = 4.
\]
La respuesta es \(4\).
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Simplify this solution Extra Insights
To simplify \( \frac{2}{5}+\frac{3}{5}+\frac{8}{5}+1 \frac{2}{5} \), start by converting the mixed number \( 1 \frac{2}{5} \) into an improper fraction. \( 1 \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5} \). Now, rewrite the original expression: \[ \frac{2}{5} + \frac{3}{5} + \frac{8}{5} + \frac{7}{5} \] Combine all the fractions since they have the same denominator: \[ \frac{2 + 3 + 8 + 7}{5} = \frac{20}{5} = 4 \] So, \( \frac{2}{5}+\frac{3}{5}+\frac{8}{5}+1 \frac{2}{5} = 4 \).
