4.) Compare $$ 4 / 5 $$ and $$ 2 / 3 $$

Question

UpStudy AI · Accepted Answer

To compare the fractions $$ \frac{4}{5} $$ and $$ \frac{2}{3} $$, we can find a common denominator or convert them to decimal form.

Let's find a common denominator for both fractions. The denominators are 5 and 3. The least common multiple (LCM) of 5 and 3 is 15.

Now, we can convert both fractions to have a denominator of 15:

1. For $$ \frac{4}{5} $$:
   $$
   \frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}
   $$

2. For $$ \frac{2}{3} $$:
   $$
   \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
   $$

Now we can compare $$ \frac{12}{15} $$ and $$ \frac{10}{15} $$. Since $$ 12 > 10 $$, we have:

$$
\frac{4}{5} > \frac{2}{3}
$$

Thus, $$ \frac{4}{5} $$ is greater than $$ \frac{2}{3} $$.
$$ \frac{4}{5} $$ is greater than $$ \frac{2}{3} $$.

4.) Compare and