Restar fracciones homogéneas

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Questions and Answers

¿Cuál de las siguientes opciones representa la diferencia entre $\frac{5}{8}$ y $\frac{3}{8}$?

  • $\frac{8}{16}$
  • $\frac{-2}{8}$
  • $\frac{2}{8}$ (correct)
  • $\frac{2}{16}$

Si tenemos $\frac{7}{9}$ y $\frac{4}{9}$, ¿cuál de las siguientes opciones representa su diferencia?

  • $\frac{11}{9}$
  • $\frac{3}{18}$
  • $\frac{1}{9}$
  • $\frac{3}{9}$ (correct)

¿Cuál de las siguientes expresiones es equivalente a $\frac{5}{12} - \frac{3}{12}$?

  • $\frac{8}{12}$
  • $\frac{1}{3}$
  • $\frac{1}{6}$
  • $\frac{2}{12}$ (correct)

Si tenemos $\frac{9}{11}$ y $\frac{5}{11}$, ¿cuál de las siguientes opciones representa su diferencia?

<p>$\frac{4}{11}$ (C)</p> Signup and view all the answers

¿Cuál de las siguientes expresiones es equivalente a $\frac{3}{7} - \frac{1}{7}$?

<p>$\frac{2}{7}$ (A)</p> Signup and view all the answers

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Study Notes

Homogeneous fractions refer to fractions that share the same denominator. This common denominator allows for straightforward addition and subtraction of these fractions without having to convert them to equivalent fractions with a common denominator. Here's an example of how to subtract homogeneous fractions:

Suppose we have two fractions, 2/5 and 3/5, which are homogeneous since they share the same denominator. To subtract them, we simply subtract the numerators:

   _______
   2|2/5
  -3|3/5
  -----
   1|1/5

The result is 1/5, which represents the difference between the two original fractions. Note that the denominator remains unchanged during the process. This is a key feature of homogeneous fractions, as their shared denominator makes arithmetic operations simpler.

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