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lana [24]
3 years ago
7

What is the value of the expression 2/5+3/7

Mathematics
2 answers:
Ray Of Light [21]3 years ago
4 0

Answer:

29/35

Step-by-step explanation:

Eddi Din [679]3 years ago
4 0

Answer:

\frac{29}{35}

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 \frac{2}{5} 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 \frac{2}{5} by \frac{7}{7} which then makes this fraction \frac{14}{35}

In order to make \frac{3}{7} 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 \frac{3}{7} by \frac{5}{5} which then makes this fraction \frac{15}{35}

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

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