Compare Fractions: Find the Missing Symbol Between 2/5 and 6/15

Video Solution

Solution Steps

00:00 Choose the appropriate sign

00:03 We want to reduce the fraction by 3 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

00:23 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we follow these steps:

Let's simplify the fractions:

$\frac{2}{5}$ is already in its simplest form since 2 and 5 have no common factors other than 1.

For $\frac{6}{15}$ , find the greatest common factor (GCF) of 6 and 15, which is 3.

Divide both the numerator and the denominator by their GCF:

$\frac{6 \div 3}{15 \div 3} = \frac{2}{5}$

Now both fractions simplify to $\frac{2}{5}$ .

Since the fractions $\frac{2}{5}$ and $\frac{2}{5}$ are equal, we use the symbol $=$ .

Therefore, the correct symbol to fill in the blank is = .