Compare Fractions: Determine the Correct Symbol Between 1/3 and 4/12

Question

Fill in the missing sign:

13412 \frac{1}{3}☐\frac{4}{12}

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:03 We want to reduce fraction 4 to get a common denominator
00:09 Remember to divide both numerator and denominator
00:13 Now we have a common denominator between the fractions
00:16 We can see that the fractions are equal
00:19 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Simplify the fraction 412\frac{4}{12}.
  • Step 2: Compare the simplified fraction with 13\frac{1}{3}.

Now, let's work through each step:
Step 1: Simplifying 412\frac{4}{12}:
The greatest common divisor (GCD) of 4 and 12 is 4. Simplifying the fraction by dividing both numerator and denominator by their GCD, we get:

412=4÷412÷4=13 \frac{4}{12} = \frac{4 \div 4}{12 \div 4} = \frac{1}{3}

Step 2: Compare the simplified fraction with 13\frac{1}{3}:
Both fractions are equal since 412=13\frac{4}{12} = \frac{1}{3}.

Therefore, the solution to the problem is = = .

Answer

= =