Solve Decimal Division: 0.9 ÷ (-0.15) Step-by-Step

Since we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

First, let's convert the numbers in the exercise to simple fractions:

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

$0.15=\frac{15}{100}$

Resulting in the following exercise:

$-(\frac{9}{10}:\frac{15}{100})=$

Let's convert the division to multiplication, don't forget to switch between numerator and denominator:

$-(\frac{9}{10}\times\frac{100}{15})=$

Let's reduce by 10 and obtain the following:

$-(9\times\frac{10}{15})=$

Let's combine into one exercise:

$-(\frac{9\times10}{15})=-\frac{90}{15}$

Let's break down 90 into a multiplication exercise:

$-\frac{3\times30}{15}=$

Let's reduce the numerator and denominator by 15 and obtain:

$-3\times2=-6$