Solve Decimal Division: -1.8 ÷ -0.09 Step-by-Step

Question

1.8:0.09= -1.8:-0.09=

Video Solution

Step-by-Step Solution

Let's convert 1.8 to a simple fraction:

1.8=1810 -1.8=-\frac{18}{10}

Let's convert 0.09 to a simple fraction:

0.09=9100 -0.09=-\frac{9}{100}

Let's multiply the first fraction we got by 10 to get a common denominator of 100:

1810×1010=180100 -\frac{18}{10}\times\frac{10}{10}=-\frac{180}{100}

Now the exercise we got is:

180100:9100= -\frac{180}{100}:-\frac{9}{100}=

Let's convert the division exercise to a multiplication exercise, and don't forget to swap the numerator and denominator in the second fraction:

180100×1009= -\frac{180}{100}\times-\frac{100}{9}=

Let's reduce the 100 in both fractions and we get:

+1809= +\frac{180}{9}=

Let's break down 180 into a multiplication exercise:

9×209= \frac{9\times20}{9}=

Let's reduce the 9 in both the numerator and denominator of the fraction and we get:

+20 +20

Answer

+20 +20