Question

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

Answer 1

Answer:

29/35

Step-by-step explanation:

Answer 2

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: $\frac{14}{35}+\frac{15}{35}=\frac{29}{35}$