You convert them, using equivalent fractions, so that they have the same denominator - a common multiple of the deniminators.
Then the denominator of the sum is the common multiple while the numerator is the sum of numerators of the converted fractions. Finally, you need to check if the answer can be simplified.
Students are often instructed that they must use the least common multiple (LCM). This is not necessary: any common multiple will do, though the LCM will require smaller numbers and so may be easier.
Chat with our AI personalities
Yes inasmuch that the denominators of the fractions must be common to each other.
Multiply all numerators to get numerator of the product. Multiply all denominators to get denominator of the product. This is true whether the factors have like or unlike denominators.
Sum of the fractions = sum of numerators divided by their common denominator. Adding Fractions rule implies to addition of fractions having same denominator and as well as adding fractions with different denominators. So rule for adding fractions having the same denominator is add the numerators and simplify For example : 3/5 + 2/5 + 9/5 = (3 + 2 + 9)/5 [add the numerators] = 14/5
Find the lowest common denominator by finding the lowest common multiple of the denominators
To add fractions the denominators must be the same.When the denominators are the same, just add the numerators keeping the denominator for the result, and then simplify the result, eg 1/8 + 3/8 = 1+3/8 = 4/8 = 1/2;If the denominators are different, make the fractions into equivalent fractions with the same denominator, and then use rule 1, eg 1/3 + 1/2 = 2/6 + 3/6 = 2+3/6 = 5/64/7 + 2/7=NEVER ADD THE DENOMINATORS!So you add 4 + 2= 6Then put 6/7 Because you keep the same Denominator.Easy now you can add fractions with the same denominators! :)Hope this helps!