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Download Fraction Review Benchmark Assessment: Thursday, February 14th
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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 is the numerator 9 is the denominator This picture represents the fraction of a region. 7 boxes are shaded out of 9 boxes This picture represents the fraction of a set. 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. Equivalent Fractions - To find an equivalent fraction multiple or divide the numerator and denominator by the same number. ÷ = x = is equivalent to is equivalent to Write two equivalent fractions for each fraction given. 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. > These fractions have a common denominator of 9. The numerator 5 is greater than 2 therefore is greater than < . 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. x = Common the numerators. 9 is less than 10. x = Therefore is less than , and is less than . Compare the fractions using <, >, or =. 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 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. =1 9÷6=1r3 Change to a mixed number or improper fraction. 2 5 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 ÷ = is in simplest form because 4 and 5 have no common factors except for 1. Write each fraction in simplest form.
