How To Find Equivalent Fractions With Whole Numbers
What Fractions Are Equivalent to Whole Numbers?
Fractions Review ⚡️
There are three types of fractions : proper fractions , improper fractions , and mixed numbers .
Proper fractions take a numerator smaller than the denominator, like 1/ii .
Improper fractions have numerators greater than or equal to their denominators. Examples are seven/half-dozen, 12/10, or four/iv.
Mixed numbers are combinations of a whole number and a proper fraction , like ii 1/4 or vi three/five .
Whole numbers are numbers that don't take fractions, similar 1, 2, and 10.
Did yous know that every whole number can be written as a fraction , too? 🤔
👉 Yes, we can just dissever it past 1!
Writing Whole Numbers as Fractions
You can write any whole number as an equivalent fraction merely past dividing it past 1 .
An equivalent fraction for ane is:
1 / 1
So what's an equivalent fraction to 2 ?
Yes, 2 / 1 !
Awesome.
Now, how tin can you tell if a fraction is equivalent, or equal to, a whole number ? 🤔
Fractions Equivalent to Whole Numbers
If yous tin can divide the numerator past the denominator without any remainder , the fraction is equivalent, or equal to, a whole number.
Let's look at the improper fraction 2 / 2 .
Is it equivalent to a whole number? 🤔
Aye! We tin can split up the numerator (2) by the denominator (2) without whatsoever remainder.
So 2 / 2 is equivalent to a whole number. 👍
Permit's wait at the area model for 2 / 2 to make sure:
Yes, 2/2 is equal to the whole number one!
Another Example
Is 6 / iii equivalent to a whole number ?
The denominator is iii.
That means each part is i / 3 of the whole .
You accept six i / iii parts because the numerator is 6.
So the area model for the half dozen 1 / iii parts is:
Find how y'all tin can combine three one / 3 parts to make one whole .
How many wholes do you have now? 🤔
👍 That'southward correct! You have 2 wholes.
That means half-dozen / 3 is equivalent to 2 wholes !
Let'due south check using sectionalization:
half-dozen ÷ iii = two
We get the same answer! 😀
When the numerator is divisible by the denominator , the fraction is equivalent to a whole number .
If the numerator is equal to the denominator , information technology always equals one whole, or 1 .
Here are some examples of fractions equivalent to i whole.
Dandy job learning about fractions equivalent to whole numbers! 🎉
Watch and Learn (Optional)
Now complete the practice. It'll aid you understand more than and remember for longer. 💪
Source: https://www.classace.io/learn/math/3rdgrade/fractions-equivalent-to-whole-numbers
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