Compare Fractions: Find the Missing Sign Between 3/10 and 1/10

Question

Fill in the missing sign:

310110 \frac{3}{10}☐\frac{1}{10}

Video Solution

Solution Steps

00:00 Choose the correct sign
00:03 The denominator is equal
00:09 When the denominator is equal, the larger numerator is the larger fraction
00:13 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to determine which of the two fractions, 310\frac{3}{10} and 110\frac{1}{10}, is greater. Since both fractions have the same denominator, the larger fraction will be the one with the larger numerator.

We'll follow these steps:

  • Step 1: Identify the numerators of the two fractions. For 310\frac{3}{10}, the numerator is 3. For 110\frac{1}{10}, the numerator is 1.
  • Step 2: Compare the numerators. Since 3 is greater than 1, this means that 310\frac{3}{10} is greater than 110\frac{1}{10}.

Therefore, the correct mathematical sign to fill in the blank is >>.

Thus, the complete inequality is: 310>110\frac{3}{10} > \frac{1}{10}.

The correct answer is choice 2: 310>110\frac{3}{10} > \frac{1}{10}.

Answer

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