Compare Fractions: Determine the Correct Sign Between 1/12 and 2/24

Question

Fill in the missing sign:

112224 \frac{1}{12}☐\frac{2}{24}

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:03 We want to reduce the fraction by 2 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
00:17 We can see that the fractions are equal
00:20 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Simplify the fraction 224\frac{2}{24}.
  • Step 2: Compare the simplified fraction with 112\frac{1}{12}.

Step 1: We start by simplifying 224\frac{2}{24}.
We find the greatest common divisor of 2 and 24, which is 2. Thus, we divide both the numerator and denominator by 2:

2÷224÷2=112 \frac{2 \div 2}{24 \div 2} = \frac{1}{12}

Step 2: Now that we have simplified 224\frac{2}{24} to 112\frac{1}{12}, we can compare it with the original fraction 112\frac{1}{12}.

Both fractions are now 112\frac{1}{12}. Therefore, they are equal.

This means the correct sign to insert is the equality sign (=)(=).

Hence, the solution to the problem is =\boxed{=}.

Answer

= =