FUN WITH FRACTIONS! A Study Guide and Review Game What is a fraction? • A symbol that is used to name equal parts of a whole. • A fraction has a NUMERATOR. • The numerator is the top number and it names the part that is shaded or unshaded. • A fraction has a DENOMINATOR • The denominator is the bottom number and it names the total number of pieces in the whole. Here’s a Hint… 2 4 The number in the NORTH is the Numerator! The number that is DOWN is the Denominator! Part of a whole 3 is yellow 8 Part of a set 4 of the set are pears 5 Position on a number line Naming Parts of a Whole Naming Fractional Parts Finding Equivalent Fractions • EQUivALent means EQUAL! • 3 is EQUivALent to 1 6 2 Here’s a Hint… • To find equivalent fractions… LOOK FOR A PATTERN 1 2 2 4 3 6 4 8 5 10 Here’s Another Hint… • To find equivalent fractions… USE BOTTOMS UP! 24 24 3 6 = 4 8 Comparing Fractions… Use Bottoms Up! 16 6 2 6 > 1 8 Two-sixths is greater than one-eighth Comparing Fractions… Use Bottoms Up! 15 24 5 12 < 2 3 Five-twelfths is less than two-thirds Ordering Fractions • You will be asked to order fractions from Greatest to Least and from Least to Greatest • You have three strategies to choose from: 1. Draw a picture 2. Use Bottoms Up 3. Use Fraction Fringe Ordering Fractions with Drawing A Picture 1 3 1 6 1 9 Least to greatest: 1 1 1 9 6 3 Ordering Fractions with Bottoms Up 1 3 1 6 1. Compare 1 and 3 2. Compare 1 and 3 3. Compare 1 and 6 1 9 1 6 1 9 1 9 1 3 1 > 6 1 3 1 6 1 > 9 1 > 9 Since 1/3 was largest 2 times, it is the largest fraction! 1/6 is next, followed by 1/9. Ordering Fractions with Fraction Fringe (you can draw it!) 1 Whole 1 2 1 2 1 4 1 8 1 16 1 16 1 4 1 8 1 16 1 16 1 8 1 16 1 16 1 4 1 8 1 16 1 16 1 8 1 16 1 16 1 4 1 8 1 16 1 16 1 8 1 16 1 16 1 8 1 16 1 16 Finding Parts of a Set When a picture is given, put the items into groups based on the number in the denominator. 1 of 9 books = 3 3 books in each group Finding Parts of a Set When a picture is not given, you have two choices: 1. Draw a picture and solve! 2. Do the math! 8 times what = 64? 1 8 = Of 64 = x ? Mixed Numbers • A mixed number is a whole number and a fraction combined Mixed Numbers • Count the WHOLEs first • Then find the FRACTIONal part Fraction Problem Solving • USE YOUR STRATEGIES!!! Do not try to work out the problems in your head !!! • Review all of the tricks and hints in this slideshow! • Review your notes from class! • PRACTICE! PRACTICE! PRACTICE! Why do I need to know this stuff? • Fractions can and will help you in real life. In order to figure out how to make only part of a recipe because you do not want to feed ten people, but only five, fractions will be very helpful. • You can use fractions to divide cake, or candy, and you will need fractions to help figure out percents. • Fractions are useful when you buy paint to make your house look nice and for figuring how much interest you will pay to the bank when you take a loan. • Fractions may be a bit difficult to learn, but believe me, you will be happy that you spent the time.