Respuesta :

audreykr2006

Answer:

29/35

Step-by-step explanation:

annaboglino

Answer:

[tex]\frac{29}{35}[/tex]

Step-by-step explanation:

So in order to add these two fractions they need to have the same denominator

  • So make them have the same denominator we need to find a common factor between the two numbers, 5 and 7
  • The first common factor between the two is 35
  • So we need to manipulate both fractions so both of their denominators are 35

In order to make [tex]\frac{2}{5}[/tex] into a fraction with the denominator of 35, the denominator must be multiplied by 7. And whatever is done to the bottom also needs to be done to the top

  • We need to multiply [tex]\frac{2}{5}[/tex] by [tex]\frac{7}{7}[/tex] which then makes this fraction [tex]\frac{14}{35}[/tex]

In order to make [tex]\frac{3}{7}[/tex] into a fraction with the denominator of 35, the denominator must be multiplied by 5. And whatever is done to the bottom also needs to be done to the top

  • We need to multiply [tex]\frac{3}{7}[/tex] by [tex]\frac{5}{5}[/tex] which then makes this fraction [tex]\frac{15}{35}[/tex]

Now that we have two fractions with the same denominator, we can add the fractions by adding their numerators: [tex]\frac{14}{35}+\frac{15}{35}=\frac{29}{35}[/tex]

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