We have been working on fractions since around Thanksgiving, but some students are still struggling. Adding, subtracting, multiplying, and dividing fractions seem to very difficult for the students.
To help them think through the process, they wrote the steps of working a fraction problem. Parents, take a look at these instructions for multiplying and adding fractions written by the students! Check back soon for more writing from the students on dividing and subtracting fractions!
How to work a Multiplication Problem
By A'Shauna
My Problem: 3 1/3 x 4 2/6
To solve this problem, first you change 3 1/3 and 4 2/6 to an improper fraction, and how you do that is to multiply the denominator (bottom number) to your whole number and then add your numerator (top number). You must do this to both mixed numbers. Now you have an improper fraction, which is when you have the biggest number on top and the lowest on the bottom. Now you multiply 10/3 by 26/6. When you are multiplying, you multiply the two numerators (top numbers), and then you multiply the two denominators (bottom numbers). Then you get an improper fraction, so you divide your denominator into your numerator. When you get your answer, you have a whole number and a remainder. How you write that is to keep your whole number, the remainder will be the top number of your fraction, and the number you divided by will be your denominator, which is the bottom number of the fraction. That is how you work a fraction multiplication problem.
Addition with Fractions and Mixed Numbers
By Keith
Let me tell you how to add fractions with mixed numbers. The first rule with fraction as mixed numbers is the two mixed fractions have to have a common denominator, which is the bottom number. They both have to be the same. The closest multiple 5 and 6 have in common is 30. So 30 would be your denominator for both mixed fractions. 6x5=30 and 5x6=30.
Example: 3 3/6 = 3 x/30
+7 2/5 7 x/30
You still have to have a numerator. The numerator is the top number. The first fraction which is 3 3/6 would be 3 15/30, because you got 30 by multiplying 6x5. You have to multiply the numerator by what you multiplied your denominator by, and 3x5=15. You would do the same with 7 2/5. 7 2/5 would now become 7 12/30 because 2x6=12, and you can’t do 5x5 because that would be 25 and it has to be 30 because that is the closest denominator.
Example: 3 15/30 =
+ 7 12/30
Then, you have to add your numerators and whole numbers, but keep your same denominator. You are still not done because you have to get your fraction to the lowest form. You don’t have to worry about your whole number.
Example: 10 27/30
Your new fraction would be 10 9/10 because 27 divided by 3 =9, and that would be your numerator because 3 can go into 27 and 30. Your denominator would now be 10 because 30 divided by 3 =10. Now your new fraction would be 10 9/10, and you don’t have to do anything to your whole number.
Example: 10 27/30 divide the denominators by 3 = 10 9/10
Those are the steps to adding fractions with whole numbers.
It is difficult to write out the steps of a math problem in words, and these students did a great job explaining each step. As your child is working math problems, have him/her explain the steps to you in words! Check back soon for more writing samples from the students! :)