Solve the Fraction Addition: 1/3 + 2/4 Step by Step

Question

Solve the following exercise:

13+24=? \frac{1}{3}+\frac{2}{4}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 We'll multiply each fraction by the second denominator to find a common denominator
00:13 Remember to multiply both numerator and denominator
00:25 Let's calculate the multiplications
00:33 Add under common denominator
00:38 Calculate the numerator
00:42 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Simplify the fractions if possible.
  • Step 2: Identify the common denominator.
  • Step 3: Convert each fraction to have this common denominator.
  • Step 4: Add the fractions.
  • Step 5: Simplify the result, if necessary.

Step 1: Simplify 24 \frac{2}{4} . It simplifies to 12 \frac{1}{2} .

Step 2: The denominators are now 3 and 2. Find the least common multiple of 3 and 2, which is 6.

Step 3: Convert each fraction to have the common denominator of 6:
13=1×23×2=26\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}
12=1×32×3=36\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}

Step 4: Add the fractions:
26+36=2+36=56\frac{2}{6} + \frac{3}{6} = \frac{2 + 3}{6} = \frac{5}{6}

Step 5: The fraction 56\frac{5}{6} is already in its simplest form.

Therefore, the solution to the problem is 56\frac{5}{6}.

Answer

1012 \frac{10}{12}