Fractions as Division - Fast and Easy Math Learning Videos
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Title: Fractions as Division - Fast And Easy Math Learning Videos
You already know that you can write the remainder in a division problem as a fraction. In this lesson you’ll learn that all division problems can be written as fractions. First let’s review writing remainders as fractions:
Thirteen divided by 3.
Remember: to solve this problem we make an array.
The array we made is 3 by 4, and there’s 1 left over.
Now we break each of our remaining blocks into 3 parts.
And we continue making the array with the parts.
So, now the array we’ve made is 3, by 4 and one-third.
So, 13 divided by 3 is equal to 4 and one-third.
Instead of just splitting the remainder blocks into thirds, we could have split all of the blocks into thirds before forming the array, like this.
Now we’ll make an array. Remember, since we split the blocks into thirds, each whole block will end up being 1 column in the array.
So the array we formed is 3 by thirteen-thirds.
So 13 divided by 3 is equal to thirteen-thirds.
We can do the same thing for all division problems. Any division problem can be rewritten as a fraction with the numerator as the dividend and the denominator as the divisor.
Let’s look at another example.
Three divided by 4.
Since 3 is less than 4 we cannot make an array without splitting each of the blocks into fourths, like this.
Now we can make an array.
So the array we formed is 4 by three-fourths
So 3 divided by 4 is equal to three-fourths.
Let’s look at another example: 56 divided by 9. We can rewrite this as a fraction with 56 as the numerator, and 9 as the denominator.
Let’s look at one last example
Four-sixths. Just as we can rewrite division problems as fractions, we can also rewrite fractions as division problems. So four-sixths is equal to 4 divided by 6.
In the remainder of this lesson you’ll rewrite division problems as fractions and fractions as division problems.
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