Free Ebook Fractions Multiply and Divide Workbook


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We start out in the fifth grade workbook Fractions: Multiply and Divide by simplifying fractions. Since this process is the opposite of making equivalent fractions, it should be relatively simple for students to understand. We also use the same visual model as we would for making equivalent fractions, just backwards: The pie pieces are joined together instead of split apart. Next comes multiplying a fraction by a whole number. Since this can be solved by repeated addition, it is not a difficult concept at all. Multiplying a fraction by a fraction is first explained as taking a certain part of a fraction, in order to teach the concept. After that, students are shown the usual shortcut for the multiplication of fractions. Simplifying before multiplying is a process that is not absolutely necessary for fifth graders. I have included it here because it prepares students for the same process in future algebra studies and because it makes fraction multiplication easier. I have also tried to include explanations of why we are allowed to simplify before multiplying. These explanations are actually proofs. I feel it is a great advantage for students to get used to mathematical reasoning and proof methods well before they start high school geometry. Then, we find the area of a rectangle with fractional side lengths, and show that the area is the same as it would be found by multiplying the side lengths. Students multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. Students also multiply mixed numbers, and study how multiplication can be seen as resizing or scaling. This means, for example, that the multiplication (2/3) 18 km can be thought of as finding two-thirds of 18 km. Next, we study division of fractions in special cases. The first one is seeing fractions as divisions; in other words recognizing that 5/3 is the same as 5 3. This of course gives us a means of dividing whole numbers and getting fractional answers (for example, 20 6 = 3 2/6). Then students encounter sharing divisions with fractions. For example, if two people share equally 4/5 of a pizza, how much will each person get This is represented by the division (4/5) 2 = 2/5. Another case we study is dividing unit fractions by whole numbers (such as (1/2) 4). We also divide whole numbers by unit fractions, such as 6 (1/3). Students will solve these thinking how many times the divisor fits into the dividend. The last lesson is an introduction to ratios, and is optional. Ratios will be studied a lot in 6th and 7th grade, especially in connection with proportions. We are laying the groundwork for that here. Sixth Grade Interactive Math Skills - Divide Fractions Divide Fractions - 6NSA1 Links verified on 12/24/2015 Divide fractions - (Using Circles) This will show graphically how the divisor will fit into the dividend a Fractions - Math is Fun - Maths Resources You just have to remember those names! (If you forget just think "Down"-ominator) Adding Fractions It is easy to add fractions with the same denominator (same bottom Free fraction worksheets: addition subtraction You are here: Home Worksheets Fractions 1 Fraction worksheets 1 Fraction addition subtraction multiplication and division This worksheet generator Multiplication Worksheets edHelpercom Decimal Multiplication from Missing Digits Decimal Multiplication Missing Digits (1 Digit Decimal Places: 1 Digit) Decimal Multiplication Missing Digits (1 Digit IXL - Fractions See recommended skills! Here is a list of all of the skills that cover fractions! These skills are organized by grade and you can move your mouse over any Multiply and Divide Decimals by 10 100 and 1000 (powers Multiply and Divide Decimals by 10 100 and 1000 (powers of ten) This is a complete lesson with a video & exercises showing first of all the common shortcut for Fractions - Lessons Fractions - Table of Contents Fractions - Topics Basic Fractions; Adding Fractions; Comparing Fractions Visual Fractions - Learn Fractions With Visual Models Design your own fraction images with the Fraction Designer Pages You may make number line or circle models of fractions and the operations on fractions Fraction Worksheets - Worksheets Lesson Plans Teacher We feature a large collection of printable fraction worksheets from basic fraction operations to conversions and mixed number operations IXL - Divide fractions and mixed numbers: word problems Seventh grade G14 Divide fractions and mixed numbers: word problems
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