Gaining facility in adding fractions is the first step in mastering all the fractional operations: addition, subtractions, multiplication and division.
You'll find a wide variety of fractions activities at Amazon.com. Try searching fun fractions activities like "Knowledge Adventure Fractions and Decimals", "Rainbow Fraction Tiles" or "Kumon fractions workbooks" to find a fun fractions activity that's right for your child.
That is, how to do the four arithmetic operations of addition, subtraction, multiplication and division with fractions, or with combinations of fractions, mixed numbers and whole numbers.
The next step, and this topic is addressed throughout the middle school years, is Applications of Fractions. That means understanding when to use the different operations in the context of real life fractions situations.
This page is focusing solely on the real-life application of adding fractions.
If your upper elementary or middle school child really doesn’t know the fraction operations of addition confidently, and doesn't know how or when to get a common denominator, you really need to work with him first on learning these basic steps. (Scroll down to the end of this article to see my TOP recommended fractions practice materials!)
(BTW, if your child has started learning the fractional operations, she's also ready to learn percents. In fact, percents are so critical that when a student masters calculating percentages in middle school, she'll be set up to successfully breeze through all the percents problems she'll find in high school math and science courses. )
OK, so assuming your child knows how to do operations with fractions pretty well, let’s look at the applications. The real trick for this is recognizing the English words that point to the given operation. Another way to look at it is, recognizing the typical situations that relate to a given operation.
Here's a simple problem involving adding fractions to see if your child knows how to compute:
Judy babysat for the Miller’s for 1 1/2 hours and for the Carbuncle’s for 2 3/4 hours, how many hours did she babysit all together?
Here are the steps to solving the problems:
1 1/2 hours + 2 3/4 hours
1 2/4 hours + 2 3/4 hours (get common denominator)
3 5/4 hours (add the whole numbers and add the numerators)
4 1/4 hours (make it a proper fraction)
How is your child supposed to know to add fractions to solve this problem?
Looking at the language, the key phrase is “all together,” that suggests grouping or joining or adding together.
Looking at the concept of the problem, two separate things are going to be viewed as a whole. Judy’s separate babysitting jobs are going to be viewed as one group of hours.
That is the addition concept.
Here are some other examples showing some varieties of wording.
Billy Bob bought a 7 1/2 pound bag of cement and a 1 3/4 pound tub of Spackle at the Home Depot. When he carried it out to his pick-up truck, how much weight was he carrying?
Here, we didn’t put in the words, “all together” but the idea is the exact same and it’s still addition. You would add the two separate weights to get the total, which would be the answer.
Eugene owned 3 pieces of property. One was 1 3/4 acres, one was 2 7/10 acres, one was 1 1/2 acres. How much property did Eugene own?
Again, the student needs to read the problem, looking out for the idea of putting together. Whenever we have the idea of putting together in a word problem, then we are going to add!
Now, let me speak as a concerned teacher, to you, a concerned parent...
If your child can't, unassisted, accurately compute the simple adding fractions problems I've given above, it's time for you to take action!
Your child needs help understanding the basics of adding fractions.
This is not necessarily a sign of a learning difficulty, but more likely that your child's teacher never spent enough time teaching and practicing adding fractions.
(I consider that a math education crime! Your child was robbed of the opportunity of practicing this skill in the classroom, until mastery was reached. Adding fractions is a vital math skill that will be used over and over in middle school math and high school math.)
It takes weeks of incremental skills development and practice to gain facility with adding fractions!!! Did your child's teacher give him that? (You may be interested to read about some of the problems in today's American Math education to learn more about this phenomenon.)
To help your child bridge his or her knowledge gap, here are my TOP RECOMMENDED practice books for you to use with your child.
I only recommend products that I have used successfully in my classrooms, and in my own home with my children. (Cost matters too. We can buy good math practice books and tools without breaking the bank!)
And, I'm positive your children will love these as much as mine do. These fun fractions tiles will help visually demonstrate the operation of adding fractions. Use them as you're working out fractions problems together with your child.
For 5th Grade Math Practice:
Kumon 5th grade math practice books are tops for zeroing in on one skill and working on incremental fractions skill development. At only $6.95 (and eligible for FREE Shipping from amazon.com) they are a real bargain!
Kumon 6th grade math practice booksare tops for zeroing in on one skill and working on incremental fractions skill development. At only $6.95 (and eligible for FREE Shipping from amazon.com) they are a real bargain!
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Timez Attack is an exciting, high-end video game that practices the Times Table! My own elementary-age boys play it and have a blast while sharpening their math skills!