Solve the Fraction Addition: 1/2 + 2/4 + 3/6

Question

12+24+36= \frac{1}{2}+\frac{2}{4}+\frac{3}{6}=

Video Solution

Solution Steps

00:00 Solve
00:03 We want to find the least common denominator
00:06 Therefore we'll multiply by 6, 3, and 2 respectively to find the common denominator
00:09 Remember to multiply both numerator and denominator
00:28 Let's calculate the multiplications
00:39 Let's add under the common denominator
00:49 Let's calculate the numerator
00:55 Let's reduce the fraction as much as possible
00:58 Remember to divide both numerator and denominator
01:10 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will simplify and add the fractions 12+24+36 \frac{1}{2} + \frac{2}{4} + \frac{3}{6} step-by-step:

  • Step 1: Simplify fractions where possible.
    24 \frac{2}{4} simplifies to 12 \frac{1}{2} because the numerator and denominator can both be divided by 2.
    Similarly, 36 \frac{3}{6} simplifies to 12 \frac{1}{2} because both the numerator and denominator are divisible by 3.
  • Step 2: Add the simplified fractions.
    The equation becomes 12+12+12 \frac{1}{2} + \frac{1}{2} + \frac{1}{2} .
  • Step 3: Since all fractions now have the same denominator, they can be added directly:
    Add the numerators: 1+1+1=31 + 1 + 1 = 3 and keep the denominator the same: 2.
    This gives us 32 \frac{3}{2} .

Therefore, the solution to the problem is 32 \frac{3}{2} .

Answer

32 \frac{3}{2}