Compare Fractions: Finding the Correct Symbol Between 1/3 and 2/3

Question

Fill in the missing sign:

1323 \frac{1}{3}☐\frac{2}{3}

Video Solution

Solution Steps

00:00 Choose the correct sign
00:03 The denominator is equal
00:06 When the denominator is equal, the larger numerator is the larger fraction
00:09 And this is the solution to the question

Step-by-Step Solution

To find the correct comparison sign for the fractions 13\frac{1}{3} and 23\frac{2}{3}, follow these logical steps:

  • Step 1: Look at the fractions 13\frac{1}{3} and 23\frac{2}{3}. Both fractions have the same denominator, which is 3.
  • Step 2: Identify the numerators of the fractions. The numerator of 13\frac{1}{3} is 1, and the numerator of 23\frac{2}{3} is 2.
  • Step 3: Compare these numerators. Since 1 is less than 2, we deduce that 13<23\frac{1}{3} \lt \frac{2}{3}.

Therefore, the missing sign to correctly complete the expression 1323\frac{1}{3} ☒ \frac{2}{3} is <\lt. Thus, the solution to the problem is 13<23 \frac{1}{3} \lt \frac{2}{3} .

Answer

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