Respuesta :

octopods

First, use the LCM of the denominators (6 and 12) to change the fractions so that they have the same denominator.

LCM of 6 and 12: 12, because 6 x 2 = 12 and 12 x 1 = 12.

5/6 becomes 10/12, because you multiply the top and bottom by 2.

5/12 doesn't change because the denominator is the same.

So now when you subtract, 10/12 - 5/12 is basically 10 - 5/12, which is 5/12

xero099

The difference of [tex]\frac{5}{6} - \frac{5}{12}[/tex] is [tex]\frac{5}{12}[/tex].

Simplification of a subtraction between two fractions

In this question, we shall apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

  1. [tex]\frac{5}{6} - \frac{5}{12}[/tex] Given
  2. [tex]\frac{5}{6}\cdot 1 - \frac{5}{12}[/tex] Modulative property
  3. [tex]\frac{5}{6}\cdot \frac{2}{2} - \frac{5}{12}[/tex] Existence of multiplicative inverse/Definition of division
  4. [tex]\frac{10}{12} - \frac{5}{12}[/tex]  [tex]\frac{a}{b}\cdot \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]
  5. [tex]\frac{5}{12}[/tex]  [tex]\frac{a}{b} - \frac{c}{b} = \frac{a-c}{b}[/tex]/Result

The difference of [tex]\frac{5}{6} - \frac{5}{12}[/tex] is [tex]\frac{5}{12}[/tex]. [tex]\blacksquare[/tex]

To learn more on fractions, we kindly invite to check this verified question: https://brainly.com/question/1301963

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