What i learned about grade 9 fractions.

What I Learned About Grade 9 Fractions

What have i learned about grade 9 fractions? Well a lot! fractions are not exactly a strong suit of mine so i found this unit rather hard, but it taught me a lot to.

 

adding and subtracting fractions

In the past i had never quite figured out adding and subtracting fractions. For adding subtractions you look at the denominators. Are they the same? if they are you can simply add the top numbers together and keep the bottom number the same. Beside this is a photo of how i would add fractions with the same denominator.


However if the denominator is different there are more steps to getting your final answer. When i go to find the bottom number, i write down the number and then multiples of that number ( like 4,8,16,32 extra). and find when they overlap like how 4 and 8 meet at 16 then 16 is the new denominator for the answer. then you have to multiply the top number by what you had to multiply the bottom by. then add the wto together and you have your answer.

When subtracting fractions you can follow the same rules. seeing fi the bottom is the same and if it is then it stays the same. the only difference is that you subtract the top. if the bottom is different its the same steps but subtracting  the top.

 

 

Dividing and Multiplying Fractions

I learned that you can convert division questions into multiplication questions wich is really helpful for me since division is also something i’m not great at.

for division i normally just convert them into multiplication questions no matter what because i don’t really understand the division questions. to convert a division question to a multiplication question all you have to do is flip the second fraction.from there you can simplify if the opportunity is there.

 

Putting Fractions on the Number Line

I learned how to put fractions on the number line which to me was surprisingly not as confusing as i remembered it to be. You look at the first hole number first is it positive? is it negative? in this example it is positive so it would be to the right of the number line. you should look at the hole number first in this example it is a 1 so your answer will be between 1 and 2 on the number line. Now your left with 3/4 the four represents how many spaces are between the 1 and 2 and the 3 represents how many of those ‘spaces’ that fraction is on the number line.

Comparing Fractions With Unlike Denominators

i learned that when Comparing fractions with unlike denominators you should convert them into common denominators if the answer isn’t clear like \frac{1}{11} and \frac{9}{10} . for me i like to draw it out in circles, even though that is the way you do it in elementary school i find it helps me more.

 

One other thing i learned/converting mixed numbers into fractions

This unit i learned how to convert mixed numbers into fractions, first you multiply the hole number by the denominator, then add the hole number to the top.

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