Compare Fractions: Determine the Correct Symbol Between 1/9 and 3/27

Question

Fill in the missing sign:

$\frac{1}{9}☐\frac{3}{27}$

00:00 Choose the appropriate sign

00:03 We want to reduce the fraction to 3, in order to get a common denominator

00:13 Now we have a common denominator between the fractions

00:16 It appears that the fractions are equal

00:19 And this is the solution to the question

To determine the missing sign between $\frac{1}{9}$ and $\frac{3}{27}$ , we will first simplify the fraction $\frac{3}{27}$ .

Step 1: Simplify $\frac{3}{27}$ .
The greatest common divisor (GCD) of 3 and 27 is 3. So, we divide both the numerator and the denominator by 3:

$\frac{3 \div 3}{27 \div 3} = \frac{1}{9}$

Step 2: Compare $\frac{1}{9}$ and the simplified version of $\frac{3}{27}$ , which is $\frac{1}{9}$ .

Since both fractions are equal, we fill in the missing sign with an equals sign.

Therefore, the correct answer is $=$ .

$=$