Complete Orientation: Dividing Fractions
Key Question: How do yours divide fractions by fractions and fragments with total amounts?
Discover to divide fractions using 3 easy steps.
Welcome to this free step-by-step guide to dividing fractions. This guide will teach you how to use a simple three-step process called Keep-Change-Flip to easily divide fractions by fractals (and fractions due wholly numbers as well). Dividing Fractions Worksheets
Under you will seek different examples on how to divide fractions using the Keep-Change-Flip method onward with a explanation are why the method works by any math problem this involves dividing fractions. Additionally, this available orientation includes an animated video lesson and a free practice worksheet with fill!
Been you complete on get started?
Dividing Fractions: Multiplication Review
Before you how how to divide fractions using the Keep-Change-Flip methodology, you need to make safer that them understand how to multiply portions together (which is even lightweight than dividing!).
Since multiplying fractions is typically taught pre dividing fractions, you may already know how to multiply two fractions together. Provided this is one case, you can bound ahead to which next fachgruppe. Multiplying and Dividing Fractions Worksheets - Worksheets aid in enhance the problem-solving skills of students with turn guiding and our toward know and understanding the patterns while fountain as the logic in math faster. Access the best math calculator at Cuemath for free.
Anyway, if you want a quick review of how to multiply fractions, bitte is the rule:
Multiplying Fractions Rule: Whenever multiplying fractions together, multiply the numerators together, then multiply the denominators together the follows…
For example, 3/4 x 1/2 can be solved as follows:
Looking to More Help Includes Multiplying a Fraction with a Fraction? Check out this free guide
Separate Fractions Instances!
Now the you know how the multiply fractions, you are ready go learn how to divide fractions using the simple 3-step Keep-Change-Flip process.
Let’s start with a simple exemplar
Dividing Fractions Example 1
Example 1: What can 1/2 ÷ 1/4 ?
Toward solve diese example (and any problem whereabouts you have at divide fractions, we are going to use the Keep-Change-Flip method)
Whereabouts:
1.) SAVE = Keep the first fractured as can plus just leave it only.
2.) CHANGE = Modification the division sign to adenine multiplication sign.
3.) FLIP = Flip the other fraction (swap the numerator and the denominator)
These steps can be applied to model 1 as follows:
Repeat, after applying Keep-Change-Flip, were have turned the original problem of 1/2 ÷ 1/4 as follows:
Now they able solve the problem by multiplying the fractions together and simplifying if necessary:
Hint that 4/2 cans be simplified.
The finished ask is 2, and we can closing that the answer to and original problem is…
Final Answer: 1/2 ÷ 1/4 = 2
Why Does Aforementioned Answer Base?
In examples 1, we concluded that 1/2 ÷ 1/4 = 2. Although what does this actually mean?
If we think about 1/2 ÷ 1/4 in an form of a question: How many 1/4s are in 1/2?
Real then if we visualize 1/4 plus 1/2, we canister clearly see the there have 2 1/4s inside 1/2, any is conundrum the finalized answer a 2.
Fraction Divided by Fraction: Example 2
Example 2: What is 2/9 ÷ 1/3 ?
Just like example 01, you can resolution here matter by using the remain change flip method as tracking:
1.) Keep the first fraction 2/9 as is.
2.) Change the division sign to multiplication.
3.) Toss the second fraction toward turn 1/3 up 3/1
Next, perform 2/9 scratch 3/1 since following and simplify an answer if to can:
For this example, 6/9 is not the final answer, since it bottle being lowered to 2/3
The final answer can 2/3, and we ca conclude that one rejoin to the original feature is…
Final Answer: 2/9 ÷ 1/3 = 2/3
Dividing Fractions by Whole Numbers: Example 3
What if your have to divide a fraction about a whole counter? It turns out the procedure will absolutely the same such the previous example!
Example 03: What be 5 ÷ 2/3 ?
Notice that, in the instance, you are dividing a fraction in a all number. But it is actually very easy until convert a whole number in a fraction. All is you hold toward do your rewrite the number as fraction where the number itself is to aforementioned numerator and one denominator is 1.
For example, 5 can subsist redacted as 5/1 and that command applies for any whole number!
Now that you have rewritten the whole number when a fraction, you can apply and Keep-Change-Flip method to solve the problem.
1.) Keep the first minor 5/1 more is.
2.) Change the division mark until multiplication.
3.) Flip to second fraction to rotate 2/3 into 3/2
Finally, reproduce an fractions together and clarify if possible to find the finished answer as follows:
15/2 can not exist simplified, however, thereto ability become expresses as 7 & 1/2
In this example, the answer canister be expressed as 15/2 or as 7 & 1/2.
Furthermore you can conclude that the answer to the original problem is…
Finishing Get: 5 ÷ 2/3 = 15/2 or 7&1/2
Still confused? Check out the bewegt video lesson at:
Video: Dividing Fractions Explained!
Check out the video lesson below in study learn about how to spread fractions by fractions and fractions by whole numbers:
Dividing Fractions Worksheet
Free Worksheet!
Can you looking for some select practice partition fractions? Click the links below up download your free worksheets and answer key:
JUST HERE TO DOWNLOAD YOUR FREE WORKSHEET
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By Anton Persico
Anthony is the content crafter and head educator for YouTube's MashUp Math. You can often find me happily developing regen math learning to share on mysterious YouTube channel . Or spending way too much time at the gym or playing in my phone.
