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
* My goal is... to use knowledge of the least common multiple and lowest common denominator to compare and order fractions. When comparing fractions, we need to make them all similar fractions. What does this mean again? __________________________________________________________________ ο· So we need to have __________ ___________________________. In fact, we want to use the _____________ ______________ _________________________, or LCD, because that is less work and will make easier fractions to compare! How do we find the LCD for two or more fractions? Well, we use the LCM, of course!! ο· _____________ ______________ _________________________, or LCM, is the smallest multiple two or more numbers have in common. ο· The multiples of a number are all products that result in multiplying that number with the counting numbers. Use the <, >, or = symbol to compare the fractions below. First you much find the Least Common Denominator, or LCD. You must then rewrite the fractions so that they have common denominators and adjusted numerators. Finding the LCD is the same as finding the LCM. Ex: Compare 1 4 and 2 9 using <, >, or =. (The long way:) Here is a hint to finding the LCD quicker in order to compare and order fractions: 5. Once you have found the LCD, you must rewrite the fractions with the common denominators and adjust the numerators. 6. Once you create equivalent fractions with common denominators, you simply have to compare the numerators to see which fractions are larger. Just find the least common denominator: o π₯ o π₯ o π₯ 3 8 π₯ πππ π₯ πππ 12 8 12 LCD = _____ 24 πππ Compare LCD = _____ 9 π₯ LCD = _____ 10 5 and using <, >, or =. 8 Order these fractions from least to greatest: order! 1 2 3 3 3 4 , , and . Put the original numbers in We can find the GCF of two numbers: Ex: 6 and 10 We can find the LCM of two numbers: Ex: 6 and 10 WHY donβt we ever find the GREATEST common multiple? Or the LEAST common factor? Math HW Comparing and Ordering Fractions Name: _____________________________ Date: ______________________________ Period: ___________________ Math HW #16 My GOAL is to use knowledge of the least common multiple and lowest common denominator to compare and order fractions. 1.) What is the least common multiple of 8 and 10? 4 2 9 6 2.) Compare and using <, >, or =. 3.) 4.) 5.) 6.) Order these fractions from least to greatest: order! 3 1 , , and 5 4 3 10 . Put the original numbers in Fractions Review: 1) Write the mixed number and the improper fraction. 2) 3) Are these fractions equivalent? 5 15 and 15 75 Which of the following numerators would change the fraction 60? A. B. C. D. 1 5 into an equivalent fraction with a denominator of 5 12 6 15 4) Find the greatest common factor of the numbers below. 24, 45 5) 99 bottles of root beer were on the wall. Ms. Poduchβs singing shatters 45 of them. What fraction of the bottles are not broken? 6) Write 3 equivalent fractions for each. Make sure one of your answers is the fraction in simplest form. 2 a) 4 4 b) 24