Compare Fractions and Decimals: 5/8 ? 0.6

Choose the appropriate sign:

$\frac{5}{8}?0.6$

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

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

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

Now we have two simple fractions with different denominators.

Let's find the least common denominator between them, in this case the common denominator is 80.

We'll equate the denominators by multiplying by the appropriate numbers:

$\frac{5}{8}\times\frac{10}{10}=\frac{50}{80}$

$\frac{6}{10}\times\frac{8}{8}=\frac{48}{80}$

Now let's compare the numerators and we'll find that:

$\frac{50}{80} > \frac{48}{80}$