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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:03 Add under a common denominator
00:11 Calculate the numerator
00:17 Now we want to reduce the fraction as much as possible
00:20 Reduce the fraction by 3
00:23 Remember to divide both numerator and denominator
00:26 And this is the solution to the 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}