Compare Fractions: Find the Symbol Between 2/8 ☐ 4/16

Question

Fill in the missing sign:

28416 \frac{2}{8}☐\frac{4}{16}

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
00:16 Now we have a common denominator between the fractions
00:20 We can see that the fractions are equal
00:23 And this is the solution to the question

Step-by-Step Solution

We need to compare the fractions 28 \frac{2}{8} and 416 \frac{4}{16} . To do this, we'll simplify each fraction to see if they are equal or if one is greater than the other.

Step 1: Simplify 28 \frac{2}{8}
To simplify, find the greatest common divisor (GCD) of 2 and 8, which is 2. Divide the numerator and denominator by this GCD:
28=2÷28÷2=14 \frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4}

Step 2: Simplify 416 \frac{4}{16}
Similarly, find the GCD of 4 and 16, which is 4. Divide both the numerator and denominator by this GCD:
416=4÷416÷4=14 \frac{4}{16} = \frac{4 \div 4}{16 \div 4} = \frac{1}{4}

Both fractions simplify to 14 \frac{1}{4} . Thus, they are equal.

Conclusion:
Since the simplified forms of both fractions are equal, the correct sign to fill in is = = .

Therefore, the solution to the problem is = = .

Answer

= =