Compare Fractions: Find the Missing Symbol Between 2/8 and 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
00:12 Now we have a common denominator between the fractions
00:16 We can see that the fractions are equal
00:19 And this is the solution to the question

Step-by-Step Solution

We will compare the fractions 28\frac{2}{8} and 416\frac{4}{16} by simplifying them to their lowest terms.

Step 1: Simplify 28\frac{2}{8}:
The greatest common divisor (GCD) of 2 and 8 is 2.
Dividing the numerator and the denominator by 2 gives us:
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}:
The greatest common divisor (GCD) of 4 and 16 is 4.
Dividing the numerator and the denominator by 4 gives us:
416=4÷416÷4=14 \frac{4}{16} = \frac{4 \div 4}{16 \div 4} = \frac{1}{4}

Step 3: Compare the simplified fractions:
Both 14\frac{1}{4} and 14\frac{1}{4} are equal.

Therefore, the correct comparison sign to fill in the blank is = = .

Answer

= =