Solve Decimal Division: -5.4 ÷ -0.9 Step by Step

Let's begin by breaking down 5.4 into a subtraction exercise as follows:

$-5.4=-5-0.4$

Now let's convert the exercise into a subtraction operation with fractions:

$-5-\frac{4}{10}=-5\times\frac{10}{10}-\frac{4}{10}=-\frac{50}{10}-\frac{4}{10}$

Let's proceed to combine the subtraction exercise between the fractions into one fraction:

$\frac{-50-4}{10}=-\frac{54}{10}$

Let's write the second decimal fraction as a simple fraction:

$-0.9=-\frac{9}{10}$

Below is the resulting exercise:

$-\frac{54}{10}:-\frac{9}{10}=$

Let's convert the division exercise into a multiplication exercise not forgetting to switch between the numerator and denominator in the second fraction:

$-\frac{54}{10}\times-\frac{10}{9}=$

Finally let's reduce the 10 in both fractions and we should obtain the following:

$+\frac{54}{9}=6$