Contents
In this publication, we will look at how division is performed, which involves ordinary (simple) and decimal fractions. We will also analyze examples to consolidate the material presented.
Division Rule
To divide a decimal fraction into an ordinary one (or vice versa – an ordinary fraction into a decimal one), one of the fractions must be reduced to the form of another. After that, you can perform division of the same type of fractions.
Notes:
1. Infinite decimals are first necessary before the final ones.
2. Mixed simple fractions must first be converted to .
Examples
Example 1
.
Solution 1
Let’s turn:
=
=
= 0,25
Now let’s do the division:
3,5: 0,25 = 14
Solution 2
Let’s transform .
=
=
=
Now we can find the quotient of :
:
=
⋅
=
=
= 14
Example 2
.
Solution
First, let’s turn the mixed fraction into an improper one:
=
=
We can then go two ways: convert the fraction to decimal or the decimal to fraction. As an example, let’s focus on the second option.
=
=
=
It remains only to perform the division:
:
=
⋅
=
=
= 1