Compare Fractions: Find the Symbol Between 3/4 and 6/8

Question

Fill in the missing sign:

3468 \frac{3}{4}☐\frac{6}{8}

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
00:14 Now we have a common denominator between the fractions
00:19 We can see that the fractions are equal
00:22 And this is the solution to the question

Step-by-Step Solution

To compare the fractions 34\frac{3}{4} and 68\frac{6}{8}, we will first simplify each fraction.

First, 34\frac{3}{4} is already in simplest form since the GCD of 3 and 4 is 1.

Now, for the fraction 68\frac{6}{8}, we find the GCD of 6 and 8, which is 2. Simplifying 68\frac{6}{8} by dividing both the numerator and the denominator by 2 gives:

6÷28÷2=34 \frac{6 \div 2}{8 \div 2} = \frac{3}{4}

Both fractions, 34\frac{3}{4} and 68\frac{6}{8}, simplify to 34\frac{3}{4}.

Since they simplify to the same form, they are equivalent:

34=68\frac{3}{4} = \frac{6}{8}

Therefore, the correct missing sign is =\boxed{=}.

= =

Answer

= =