Compare Fractions: Determine if 2/7 >, <, or = 6/21

Question

Fill in the missing sign:

27621 \frac{2}{7}☐\frac{6}{21}

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:03 We want to reduce the fraction by 3 to get a common denominator
00:09 Remember to divide both numerator and denominator
00:12 Now we have a common denominator between the fractions
00:15 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, let's follow these steps:

  • Step 1: Simplify the fraction 621\frac{6}{21}.
  • Step 2: Compare the fractions 27\frac{2}{7} and the simplified form of 621\frac{6}{21}.

Now, let's carry out these steps:

Step 1: Simplify 621\frac{6}{21}.
To simplify 621\frac{6}{21}, we find the greatest common divisor (GCD) of 6 and 21, which is 3. Dividing the numerator and the denominator by their GCD, we get:

6÷321÷3=27\frac{6 \div 3}{21 \div 3} = \frac{2}{7}.

Step 2: Now, compare 27\frac{2}{7} with the simplified form of 621\frac{6}{21}, which is also 27\frac{2}{7}. Thus, we have:

27=27\frac{2}{7} = \frac{2}{7}.

Therefore, the missing sign between the fractions 27 \frac{2}{7} and 621 \frac{6}{21} is = = .

Answer

= =