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

Video Solution

Solution Steps

00:00 Choose the appropriate sign

00:03 We want to find a common denominator

00:06 Therefore we'll multiply each fraction by the denominator of the other fraction

00:09 Remember to multiply both numerator and denominator

00:22 Now we'll use the same method for the second fraction

00:26 Remember to multiply by the denominator of the second fraction

00:29 Remember to multiply both numerator and denominator

00:37 Now we have a common denominator between the fractions

00:41 When denominators are equal, the larger the numerator, the larger the fraction

00:51 And this is the solution to the question

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 $<$ .