Mini-Posters LES 3 Nature Center Application Situation 1 Application Situation 2 Application Situation 3 Application Situation 4 P-1 P-15 P-16 P-22 PLEASE NOTE: To print these pages 11 x 17, you must configure your printer settings accordingly. Table of Contents APPLICATION SITUATION 1 APPLICATION SITUATION 2 What is a Fraction? P-1 Reading and Writing Fractions P-2 Illustrating a Figure as a Fraction P-3 Illustrating a Fraction as a Figure P-4 Illustrating a Set as a Fraction P-5 Illustrating a Fraction as a Set P-6 APPLICATION SITUATION 3 Fraction Greater than 1 P-7 What is a Percent? Equivalency Chart P-8 Equivalent Forms Finding Equivalent Fractions P-9 Conversion Methods P-17 Simplifying Fractions P-10 Example P-18 Adding Fractions P-11 Common Denominator Subtracting Fractions P-12 Multiplying a Whole Number P-15 by a Fraction P-16 How to Convert a Fraction P-19 How to Convert a Decimal Number P-20 How to Convert a Percent P-21 Common Denominator Adding Fractions P-13 Different Denominators Subtracting Fractions Different Denominators P-14 APPLICATION SITUATION 4 Calculating Percentage Images References 5 © yxm2008/Shutterstock.com risteski goce/Shutterstock.com 6 © Neyro/Shutterstock.com P-22 What is a Fraction? A fraction is part of a whole. Example Denominator Numerator 3 4 The numerator tells us how many equal parts we have. The denominator tells us how many equal parts there are in total. P-1 Reading and Writing Fractions P-2 Illustrating a Figure as a Fraction When a figure is divided in (b) equal parts a and (a) parts are coloured, the fraction shows the coloured part of the figure. b Example The fraction 7 shows 12 the coloured part of this figure. P-3 Illustrating a Fraction as a Figure To illustrate a fraction a as a figure, b divide the figure into (b) equal parts and colour (a) parts. Example The coloured part of this figure shows the fraction 10 . 16 P-4 Illustrating a Set as a Fraction A set has (b) elements. a If (a) elements are chosen, the fraction b shows the relationship between: - (a) the number of elements chosen, and - (b) the total number of elements in the set. Example There are 10 vehicles in the set. 4 of the vehicles are snowmobiles. 10 6 of the vehicles are ATVs. 10 P-5 Illustrating a Fraction as a Set Example There are 12 marbles in the set. 1 of the marbles are yellow 12 ÷ 4 = 3 4 1 of the marbles are green 12 ÷ 6 = 2 6 1 of the marbles are red 12 ÷ 3 = 4 3 The rest of the marbles are purple 12 – 3 – 4 – 2 = 3 P-6 Fraction Greater than 1 Improper fraction Example 83 4 Mixed number Example 4 5 6 P-7 Equivalency Chart P-8 Finding Equivalent Fractions Examples 1 3 2 4 × 2 2 2 6 = × 3 3 6 = 12 P-9 Simplifying Fractions To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). Examples 16 4 4 ÷ = 20 4 5 20 20 1 ÷ = 40 20 2 15 15 1 ÷ = 45 15 3 P-10 Adding Fractions Common Denominator Adding Fractions (Same Example Denominator) 3 8 1 = 8 + 4 8 3 1 4 + = 8 8 8 P-11 A-3 Subtracting Fractions Common Denominator Subtracting Fractions (SameExample Denominator) 4 8 1 = 8 – 3 8 4 1 3 – = 8 8 8 P-12 A-5 Adding Fractions Different Denominators Example P-13 Subtracting Fractions Different Denominators Subtracting Fractions (DifferentExample Denominators) 2 3 6 9 – 1 = 9 – 1 = 9 5 9 6 1 5 – = 9 9 9 P-14 A-6 Multiplying a Whole Number by a Fraction Example 9 × 36 5 5 × 9 = 36 45 = 36 = = 1 9 36 1 1 4 P-15 What is a Percent? A percent is a way of showing a fraction that has a denominator of 100. Example 5% of the squares are yellow. 10% of the square are blue. 20% of the squares are orange. 25% of the squares are green. 40% of the squares are pink. P-16 Equivalent Forms (Fraction, Decimal Number, Percent) Conversion Methods P-17 Equivalent Forms (Fraction, Decimal Number, Percent) Example P-18 How to Convert a Fraction FRACTION into a PERCENT Convert the fraction into a decimal number and then multiply by 100. Example 1 = 0.5 × 100 = 50% 2 FRACTION into a DECIMAL NUMBER Divide the numerator by the denominator. Example 50 = 50 100 = 0.5 100 P-19 How to Convert a Decimal Number DECIMAL NUMBER into a PERCENT Multiply the decimal number by 100. Example 0.5 = 0.5 × 100 = 50% DECIMAL NUMBER into a FRACTION Multiply the decimal number by 100 . Simplify the fraction if possible. 100 Example 1 50 50 0.5 × 100 50 0.5 = = = = 100 100 50 2 100 P-20 How to Convert a Percent PERCENT into a FRACTION Drop the percent sign and place the number over 100. Simplify the fraction if possible. Example 50% 1 50 50 50 = = = 100 100 50 2 PERCENT into a DECIMAL NUMBER Divide the percent by 100. Example 50% = 50 100 = 0.5 P-21 Calculating Percentage A percentage is a number that is a percent of another number. Example Original number Percent 25% of 356 = 25% × 356 = 25 × 356 = 100 25 × 356 = 89 100 Percentage P-22
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