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

Question

Fill in the missing sign:

19327 \frac{1}{9}☐\frac{3}{27}

Video Solution

Solution Steps

00:04 We are looking for the right math operation sign.
00:08 We need to change the fraction to three to make denominators the same.
00:17 Now, both fractions share a common denominator.
00:21 Guess what? The fractions are actually equal!
00:25 And that's how we solve this math problem!

Step-by-Step Solution

To determine the missing sign between 19 \frac{1}{9} and 327 \frac{3}{27} , we will first simplify the fraction 327 \frac{3}{27} .

Step 1: Simplify 327 \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:

3÷327÷3=19\frac{3 \div 3}{27 \div 3} = \frac{1}{9}

Step 2: Compare 19 \frac{1}{9} and the simplified version of 327 \frac{3}{27} , which is 19 \frac{1}{9} .

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

Therefore, the correct answer is = = .

Answer

= =