Compare Fractions: Find the Missing Sign Between 2/3 and 6/4

Video Solution

Solution Steps

00:04 Let's find the correct sign.

00:07 We need a common denominator for our fractions.

00:11 So, we'll multiply each fraction by the other's denominator.

00:16 Remember, multiply both the top, and bottom numbers.

00:26 Let's apply this method to the second fraction.

00:31 Multiply by the second fraction's denominator.

00:35 Again, multiply both numerator, and denominator.

00:41 Now our fractions share a common denominator.

00:45 With equal denominators, the larger the numerator, the bigger the fraction.

00:55 And that's how we solve this problem!

Step-by-Step Solution

To solve this problem, we will use cross-multiplication to compare the two fractions $\frac{2}{3}$ and $\frac{6}{4}$ .

Step 1: Calculate the cross products. Multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
Step 2: Compare the two products to determine which fraction is larger.

Now, let's work through the steps:

Step 1: Cross-multiply the two fractions:
$\text{First Product} = 2 \times 4 = 8$
$\text{Second Product} = 3 \times 6 = 18$

Step 2: Compare the resulting products:
Since $8 < 18$ , it follows that $\frac{2}{3} < \frac{6}{4}$ .

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