Step by step Fraction of a whole Fraction of a set Equivalent fractions Compare fractions to 0, 1/2 and 1 Mixed numbers: There is a whole number and a fraction part. A fraction can be a part of a whole. If you need to share 1 pizza equally with four people, you are using fraction! You may have to find fractions of a set, or of a collection. Fractions that have the same value, even though they may look different! Mixed numbers and improper fractions Fractions Each equal part has a name that depends on the number of equal parts that are shown. You have one pizza and you need to divide it equally between 4 people. You are going to have to make 4 equal parts, and you are going to get 1 for yourself. So you are going to eat 1 part out of 4, or 1/4 . (One-quarter) 1 4 The numerator. It shows the number of parts

that are being counted, or in that case, eaten! The denominator. It shows the number of equal parts of a whole. In that case, four slices of pizza. thirds fourths or quarters fifths sixths tenths In that situation, there are 19 counters.

4 counters are red. So 4/19 of the counters

are red.

3 counters are green, so 3/19 of the counters

are green.

19/19 of the counters are circles! Can you find 1/3 of 12? Can you color 1/3 of 12

smileys in red? In 1/3, the 3 represents the number of equal groups that you need to make. In 1/3, the 1 represents the number of

equal group that you need to color red. There are 4 red smileys,

so 1/3 of 12 = 4! These fractions are equivalent, because they

show the same quantity. To find equivalent fractions, you have to multiply, or divide, the numerator AND the denominator by the same number 1

2 x 2 = 2 x 2 = 4 And 1

2 x 3 = 3

x 3 = 6 These fractions are equivalent!

If you eat 1/2, 2/4 or 3/6 of a pizza,

you are going to eat the same quantity! The pizzas need to be the same size though! We can see that: 1

3 = 2

6 4

6 = 2

3 Is 4/5 closer to 0, 1/2 or 1? 0 1 1/2 Since the denominator is 5, you need to divide the line in 5 equal parts 1/5 2/5 3/5 4/5 0/5 5/5 Since the numerator is 4, you need to count 4 parts

So 4/5 is closer to 1. improper Improper fraction: The numerator is larger than the denominator. They are used to show fractions that are larger than 1 twenty-three sixths Three wholes and five sixths Order fractions that have the same denominator 1

9 4

9 6

9 8

9 < < < When fractions have the same denominator and the numerators increase, the fractions are getting larger. Ex: 1

4 < 2

4 < 3

4 Associate fractions, decimals and percentages 0/0 1/4 2/4 or 1/2 3/4 4/4 0 0.25 0.5 or 0.50 0.75 1 0% 25% 50% 75% 100% Reduce to lowest terms Find an equivalent fraction in which the only common factor of the numerator and the denominator is 1. 8

24 factors are 1, 2, 4, 8 Factors are 1, 2, 3, 4, 6, 8, 12 Use the common factors to divide the numerator and the denominator.

The easiest way to do it is to use the highest common factor: 8

24 / 8 = 1 / 8 = 3 Since the only common factor of

1 and 3 is 1, the lowest term of 8

24 1

3 is eighths

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