Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Fraction Review Benchmark Assessment: Thursday, February 14th Fractions - Denominator represents the total number of equal pieces - Numerator represent the number of equal pieces you are looking for - Fraction bar represents division 7÷9= 7 9 7 is the numerator 9 is the denominator 7 This picture represents the fraction of a region. 9 7 boxes are shaded out of 9 boxes 7 This picture represents the fraction of a set. 9 7 circles are blue out of the 9 circles Represent the fractions as division. Draw a picture to represent the fraction as a region and a set. 5 3 7 6 4 11 Equivalent Fractions - To find an equivalent fraction multiple or divide the numerator and denominator by the same number. 8 12 5 8 2 4 4 2 6 6 ÷ = is equivalent to 3 15 15 3 24 24 x = 8 12 is equivalent to 5 8 Write two equivalent fractions for each fraction given. 5 6 9 9 24 54 Compare Fractions - If fractions have a common denominator compare the numerators. The greater the numerator the greater the fraction. - If fractions do not have a common denominator, find a common denominator by finding a common multiple or multiply the denominators together. 5 2 >9 9 These fractions have a common denominator of 9. The numerator 5 is 5 2 9 9 greater than 2 therefore is greater than 3 5 2 <3 . These fractions do not have a common denominator. A common multiple of 5 and 3 is fifteen because 5 x 3 =15. Rename the fractions with the common denominator. 3 5 2 3 3 9 3 5 15 10 5 15 x = x = Common the numerators. 9 is less than 10. Therefore 9 15 is less than 10 15 3 2 5 3 , and is less than . Compare the fractions using <, >, or =. 4 7 9 12 8 9 8 8 18 24 9 12 Mixed Numbers and Improper Fractions - Mixed numbers include a whole number and a fraction. - An improper fraction has a numerator that is greater than or equal to the denominator. To write a mixed number as an improper fraction, multiply the denominator by the whole number and add the numerator. Put it over the same denominator 2 5 3 3 1 = 3x1=3+2=5 To write an improper fraction as a mixed number, divide the numerator by the denominator and put the remainder over the denominator. 9 6 =1 3 6 9÷6=1r3 Change to a mixed number or improper fraction. 15 18 7 15 5 2 6 2 5 7 Greatest Common Factor. - To find the GCF, list the factors of the two numbers, identify the GCF - To find the GCF, find the prime factorization of the two numbers, identify the common prime factors, and multiply the common prime factors together 20: 1, 2, 4, 5, 10, 20 GCF is 4 16: 1, 2, 4, 8, 16 Prime Factorization Using a Factor Tree 20 = 2 x 2 x 5 16 = 2 x 2 x 2 x 2 GCF = 2 x 2 = 4 Find the GCF of each pair of numbers. 24, 56 36, 108 112, 72 Simplest Form - A fraction is in simplest form when the numerator and denominator have no common factors except for 1. - To write a fraction in simplest form, divide the numerator and denominator by a common factor or GCF until the numerator and denominator have no common factors except for 1 16 20 4 4 4 4 5 5 ÷ = is in simplest form because 4 and 5 have no common factors except for 1. Write each fraction in simplest form. 15 80 25 36 30 100 75 92