Compare Fraction and Decimal: 6/8 ? 0.75

Choose the appropriate sign:

$\frac{6}{8}?0.75$

First, let's convert 0.75 to a simple fraction.

Since there are two numbers after the decimal point, the number is divided by 100, therefore:

$0.75=\frac{75}{100}$

Let's reduce the fraction by dividing by 25:

$\frac{75:25}{100:25}=\frac{3}{4}$

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 8.

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

$\frac{6}{8}\times\frac{1}{1}=\frac{6}{8}$

$\frac{3}{4}\times\frac{2}{2}=\frac{6}{8}$

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

$\frac{6}{8}=\frac{6}{8}$