Solve 1/9 + 2/9: Adding Fractions with Same Denominator

Question

19+29= \frac{1}{9}+\frac{2}{9}=

Video Solution

Solution Steps

00:05 Let's solve the problem together.
00:08 First, add with a common denominator.
00:16 Next, calculate the numerator carefully.
00:22 Now, let's reduce the fraction as much as possible.
00:27 We can simplify it by dividing by three.
00:30 Remember to divide both the top and bottom numbers.
00:35 And that's the solution to our question!

Step-by-Step Solution

To solve the problem of adding the fractions 19 \frac{1}{9} and 29 \frac{2}{9} , we proceed with the following steps:

  • Step 1: Verify that the fractions have the same denominator.
    Both fractions, 19 \frac{1}{9} and 29 \frac{2}{9} , have a common denominator of 9.
  • Step 2: Add the numerators.
    The numerators are 1 and 2, respectively. So, 1+2=3 1 + 2 = 3 .
  • Step 3: Write the result over the common denominator.
    This gives us the fraction 39 \frac{3}{9} .
  • Step 4: Simplify the fraction if possible.
    The fraction 39 \frac{3}{9} can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 3: 39=3÷39÷3=13 \frac{3}{9} = \frac{3 \div 3}{9 \div 3} = \frac{1}{3}

Therefore, the solution to the problem is 13 \frac{1}{3} .

Answer

13 \frac{1}{3}