Solve Fraction Addition: 1/3 + 1/6 Step-by-Step

Question

Solve the following exercise:

13+16=? \frac{1}{3}+\frac{1}{6}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 We want to find the least common denominator
00:06 Therefore multiply by 2 for the common denominator 6
00:09 Remember to multiply both numerator and denominator
00:14 Calculate the multiplications
00:20 Add under common denominator
00:23 Calculate the numerator
00:27 And this is the solution to the question

Step-by-Step Solution

To solve 13+16 \frac{1}{3} + \frac{1}{6} , follow these steps:

  • Step 1: Identify a common denominator for the fractions.
    Since 6 6 is a multiple of 3 3 , 6 6 is the common denominator.
  • Step 2: Convert 13 \frac{1}{3} to a fraction with denominator 6 6 .
    Multiply both the numerator and denominator of 13 \frac{1}{3} by 2 2 :

13=1×23×2=26 \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}

  • Step 3: Add the fractions 26+16 \frac{2}{6} + \frac{1}{6} .
  • Simply add the numerators and keep the common denominator:

26+16=2+16=36 \frac{2}{6} + \frac{1}{6} = \frac{2 + 1}{6} = \frac{3}{6}

Thus, after solving the addition, we get 36 \frac{3}{6} .

Answer

36 \frac{3}{6}