Compare Fraction and Decimal: Is 2/3 Greater Than, Less Than, or Equal to 0.6?

Choose the appropriate sign:

$\frac{2}{3}?0.6$

First, let's convert 0.6 to a simple fraction.

Since there is only one digit after the decimal point, the number is divided by 10 as follows:

$0.6=\frac{6}{10}$

Let's reduce the fraction:

$\frac{6:2}{10:2}=\frac{3}{5}$

Now we have two simple fractions with different denominators.

To compare them, note that the smallest common denominator between them is 15.

We'll multiply each one to reach the common denominator as follows:

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

$\frac{3}{5}\times\frac{3}{3}=\frac{9}{15}$

Now we can compare the two fractions and see that:

$\frac{10}{15}>\frac{9}{15}$