Compare Fractions: Determine the Symbol Between 4/6 and 5/12

Question

Fill in the missing sign:

46512 \frac{4}{6}☐\frac{5}{12}

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:03 We want to multiply the fraction by 2 to get a common denominator
00:09 Remember to multiply both numerator and denominator
00:14 Now we have a common denominator between the fractions
00:18 When denominators are equal, the larger the numerator, the larger the fraction
00:29 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Identify a common denominator for both fractions.
  • Step 2: Adjust each fraction to have this same denominator.
  • Step 3: Compare the numerators of the converted fractions.

Now, let's work through each step:

Step 1: The denominators of the given fractions are 6 and 12. The least common multiple (LCM) of 6 and 12 is 12.

Step 2: Convert 46 \frac{4}{6} to have a denominator of 12:

46=4×26×2=812 \frac{4}{6} = \frac{4 \times 2}{6 \times 2} = \frac{8}{12}

The fraction 512 \frac{5}{12} already has the denominator 12, so it remains:

512=512 \frac{5}{12} = \frac{5}{12}

Step 3: Compare the numerators of the fractions 812 \frac{8}{12} and 512 \frac{5}{12} .

We have 8>5 8 > 5 .

Therefore, 812>512 \frac{8}{12} > \frac{5}{12} , which implies 46>512 \frac{4}{6} > \frac{5}{12} .

Thus, the correct comparison sign is > > .

Answer

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