adding and subtracting fractions with like denominators
TRANSCRIPT
![Page 1: Adding and subtracting fractions with like denominators](https://reader035.vdocuments.us/reader035/viewer/2022081504/55895c71d8b42a693f8b45a5/html5/thumbnails/1.jpg)
ADDING A
ND SUBTR
ACTING
FRACTI
ONS WIT
H LIKE
DENOMINAT
ORS
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WHAT THE HECK IS A NUMERATOR AND DENOMINATOR?
Fractions are made of two parts; the numerator and denominator.
The numerator is the number on top of the fraction.
The denominator is the number on the bottom of the fraction.
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HOW DO I ADD FRACTIONS WITH THE SAME DENOMINATOR?
To add or subtract fractions the denominators, or bottom numbers, must be the same.
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THEN…
You simply add the numerators, or top numbers, and keep the denominators the same.
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PRACTICE ON YOUR WHITE BOARD
1.
2.
3.
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NOW PUT INTO SIMPLEST OR REDUCED FORM
Simplest or reduced form means that a number is reduced
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LET’S PRACTICE!
We’re going to add: 3/6 + 1/6
Are the denominators the same?
Add the numerators, keep the denominator.
You should have gotten 4/6
Do you think we can reduce 4/6?
Yes!
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NOW LET’S REDUCE!
First, we have to factor our numerator and denominator.
4: the factors of 4 are…1,2,4
6: the factors of 6 are…1,2,3,6
Which number in the two list is the Greatest Common Factor (GFC)
2
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FINISH REDUCING
Now that we’ve figured out the GFC, divide the numerator and denominator by the GFC
4 2= 2
6 2 = 3
Our reduced fraction is now 2/3
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MIXED NUMBERS AND IMPROPER FRACTIONS
Sometimes when we add fractions we get an improper fraction as our sum:
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HOW TO TURN AN IMPROPER FRACTION INTO A MIXED NUMBER…IT’S SO EASY!
23/3 is an improper fraction
To make it a mixed number you simply have to divide the numerator, top number, by the denominator, bottom number.
23 3= 7 R 2
7 is your whole number, 2 becomes your numerator and 3 stays are your denominator.
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NOW YOU TRY!
Turn each improper fraction into a mixed number
1. 15/2
2. 22/7
3. 9/2
Answers…
4. 7 ½
5. 3 1/7
6. 4 ½