Compare Fractions: Determine the Relation Between 2/3 and 8/12

Video Solution

Solution Steps

00:00 Choose the appropriate sign

00:03 We want to reduce fraction 4 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

00:15 We can see that the fractions are equal

00:18 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll compare the two fractions $\frac{2}{3}$ and $\frac{8}{12}$ to determine the suitable mathematical sign between them.

Step 1: Simplify the fraction $\frac{8}{12}$ .

The greatest common divisor of 8 and 12 is 4.
Divide the numerator and the denominator of $\frac{8}{12}$ by 4:
$\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$ .

Step 2: Now we compare the fractions $\frac{2}{3}$ and the simplified $\frac{8}{12} = \frac{2}{3}$ .

Since both fractions $\frac{2}{3}$ and $\frac{2}{3}$ are identical, they are equal.

Therefore, the missing sign to make the statement true is $=$ , since both fractions are equivalent.

This corresponds to choice id="3".

Therefore, the solution to the problem is $=$ .