Grade 7/8 fractions

By: Jess and Fatima

Adding Fractions- By Fatima

Adding fractions are easier then they look at first they are challenging but as you practice you will get better

i have an easy method for you.

It is finding common denominators.

Finding the common denominator is just finding what the two numbers have alike. Example 5/10 + 5/6 the numbers that are under lined are the numbers you find the common denominator for | 10, 20, 30 | 6, 12, 18, 24, 30 | 30 is the common denominator. Next you put the number 30 as the denominator like this. Example: 5/10 + 5/6 = /30 +/30| Third you multiply by the numbers that i took you to get to the common denominator Example: it took 3 numbers to get to 30 by 10s so you multiply the numerator by the number it took you to get to the common denominator. Example 5/10 you multiply by 3 3x5=15| you do the same for the other one also. In total this is how it would go. and see how you multiplied it by three and you got 15 you put 15 as the numerator over 30 Example: 15/30 you do the same for the other one. Once you have them both 15/30 + 25/30= 40/30=1 10/30 finally you just have to reduce your finally answer will be 1 1/3 There were lots of words but at the end it was very easy.

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Subtracting fractions- By Jessica

Subtracting fractions is almost as easy as adding! It is almost the same too.

The easiest way in our opinion is finding common denominators. To do that, find about 6 or 7 multiples of both denominators. Find which number is the lowest common number to each one. For example, if we were to find common denominators for 4/9 and 8/27, I would list the multiples of 9 (9,18,27,36, 45, 54) and the multiples of 27 (27,54, 81,108, 135,162) I notice that the lowest common number is 27, so that will be our denominator. Now, we have to do to the top what we did to the bottom so you will have to multiply 4(from 4/9) by 3(the number of the multiple) it equals 12, so our new fractions are 12/27 and 8/27. Now we just need to subtract 12 from 8, which is 4. Our answer to 4/9 - 8/27 is 4/27! Easy, right?

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Multiplying Fractions- By Fatima

Multiplying is really easy sure it may seem hard but at the end its easy here is my easiest and fast way to multiply fractions.

first thing you do multiply the numerators. Example: 2/10 x 3/10 the numbers that are underlined are the ones you multiply. Example 2 x 3 = 6 do the same with the denominator. Example: 2/10 x 3/10 At the end you put it together.Example 2 x 3 = 6

10 x 10 = 100 Answer 6/100 last reduce 3/50 and that is it after practice you will be able to multiply fractions.

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Dividing fractions- By Jessica

Dividing fractions may seem difficult and confusing, but once you practice and get the hang of it, its super easy! To divide, you actually have to multiply! To do that, switch the second fraction right around. For example, if your division problem is 3/4 ÷ 1/4, your new fractions would be 3/4 and 4/1. After that, just multiply! (Explained above^). Once multiplied, you have your answer. The answer to our example question would be 12/4, or 3.

3/4 ÷ 1/4 = 3. Easy as pie!

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Reducing fractions- By Jessica

Reducing fractions is pretty much just changing large fractions to smaller equivalent fractions. For example, 2/6 could be reduced to 1/3. It's easy to do! How I do it is I see what the highest number the denominator AND the numerator can be divided by. For example, if my fraction was 6/10, I would figure out what 10 is divisible by(5,2,1) Obviously, 1 wont work so the highest is 5. Since 6 divided by 5 isn't an even number, our next highest is 2. 10 divided by 2 works so now I will see if 6 is divisible by 2. It is! So, 6/10 reduced is 3/5. It's super easy! This method, in shorter terms, is dividing each number by the greatest common factor(GCF). Reducing fractions can also be called simplifying fractions.
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