Explain how to do 2/7 + 12/35 ?
explain how to solve 2/7 + 12/35
Change 2/7 to an equivalent fraction with 35 as the denominator.
2/7 = 10/35
10/35 + 12/35 = ?
2/7
To add fractions, you need to make sure that they have a common denominator.
Step 1: Find the least common denominator (LCD) between the two fractions. In this case, the denominators are 7 and 35. The LCD of 7 and 35 is 35, so we will convert both fractions to have a denominator of 35.
Step 2: Convert the first fraction, 2/7, to have a denominator of 35. To do this, multiply the numerator and denominator of 2/7 by 5 (since 7 multiplied by 5 equals 35). This gives us (2*5)/ (7*5) = 10/35.
Step 3: Convert the second fraction, 12/35, to have a denominator of 35. Since the denominator is already 35, no conversion is needed.
Step 4: Now that both fractions have a denominator of 35, add the numerators together and keep the denominator the same. Thus, 10/35 + 12/35 equals (10 + 12)/35 = 22/35.
Therefore, 2/7 + 12/35 simplifies to 22/35.