Compare Fractions and Decimals: Is 6/9 > 0.7?

Choose the appropriate sign:

$\frac{6}{9}?0.7$

First, let's convert 0.7 to a simple fraction.

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

$0.7=\frac{7}{10}$

Now we have two simple fractions with different denominators.

In order to compare them, note that the smallest common denominator between them is 90.

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

$\frac{6}{9}\times\frac{10}{10}=\frac{60}{90}$

$\frac{7}{10}\times\frac{9}{9}=\frac{63}{90}$

Now we can compare the two fractions and see that:

$\frac{60}{90}<\frac{63}{90}$