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SIMPLEST FORM OF A FRACTION Simplest form – no common factors for numerator and denominator Factors – numbers that are multiplied to give a product BASIC CONCEPTS Any number multiplied or divided by doesn’t change its value Similarly dividing numerator and denominator by the same number won’t change the value of the fraction BASIC CONCEPTS So the value of the fraction doesn’t change. Dividing the numerator and denominator by the same number is the same as dividing by FIND THE SIMPLEST FORM OF A FRACTION, 4 EXAMPLE 16 First, find the common factors of the numerator and denominator Factors of 4: 1, 2, 4 (1 × 4 =4; 2 × 2 =4; 4 × 1 =4) Factors of 16: 1, 2, 4, 8, 16 (1 × 16=16; 2 × 8=16; 4 × 4=16; 8 × 2=16; 16 × 1=16) Next, find the Greatest common factor Greatest number that is a factor for both numerator and denominator Here, it is 4 4 SIMPLEST FORM OF 16 Divide the numerator and denominator by the Greatest common factor 4÷4=1 16 ÷ 4 = 4 1 4 So, the simplest form of is 4 16 DOWNLOAD THE ENTIRE FRACTIONS LESSON FREE The Complete Lesson Includes Expressing a Fraction as Part of a Whole Reading and Writing Fractions Classifying Fractions Finding Equivalent Fractions Simplifying Fractions Expressing Part of a Whole as a Decimal Relating Fractions to Decimals Reading and Writing Decimals FIND THE SIMPLEST FORM OF Common factors 16 : 1, 2, 4, 8, 16 84 : 1, 2, 4, 6, 7, 12, 14, 21, 42,84 Once past the max value of numerator there won’t be a common factor Greatest common factor = 4 ROLLER COASTER RIDE Megan and her friends ride a roller coaster. The roller coaster has eight cars. Four of the cars are blue. How can you write a fraction for the blue cars in simplest form. Fraction Common factors 4 : 1, 2, 4 8 : 1, 2, 4, 8 MEGAN AND HER FRIENDS TOSS PING-PONG BALLS TO WIN FISH. 6 FISH ARE BLUE AND 6 ARE YELLOW, SO MEGAN SAYS THAT OF THE FISH ARE BLUE 1 2 2 4 of the fish are blue Simplest form of 3 ,6 4 , 8, and 6 12 6 12 are other ways of representing it DOWNLOAD THE ENTIRE FRACTIONS LESSON FREE The Complete Lesson Includes Expressing a Fraction as Part of a Whole Reading and Writing Fractions Classifying Fractions Finding Equivalent Fractions Simplifying Fractions Expressing Part of a Whole as a Decimal Relating Fractions to Decimals Reading and Writing Decimals