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Example 5-3d Objective Compare and order fractions
Example 5-3d Vocabulary Least common denominator (LCD) The least common multiple (LCM) of the denominators
Lesson 5 Contents Example 1Compare Fractions Example 2Order Fractions
8 21 Example 5-1a Replace with or = to make true. Write comparison using a circle instead of the dot 1/2 Use calculator to convert each fraction to a decimal Convert to a decimal Enter numerator of 8 8 Enter division sign Enter denominator of 21 Enter equal sign = = 0.381
3 7 Example 5-1a Replace with or = to make true. 1/2 Convert to a decimal Enter numerator of 3 3 Enter division sign Enter denominator of 7 Enter equal sign = = Compare decimals by lining up the decimals vertically
3 7 Example 5-1a Replace with or = to make true. 1/2 3 = Compare decimals beginning at the decimal since there are no whole numbers The 3 is less than 4 so is less than Place the comparison symbol in the original problem < Circle answer!
Replace with or = to make true. Example 5-1b Answer: 1/2 <
Example 5-2a Order the fractions and from least to greatest. 2/2 Write the fractions Convert to a decimal Numerator 2 denominator Convert to a decimal Numerator 4 denominator
Example 5-2a Order the fractions and from least to greatest. 2/2 Numerator 8 denominator Convert to a decimal Numerator 3 denominator Convert to a decimal
Example 5-2a Order the fractions and from least to greatest. 2/ Compare decimals beginning at the decimal since there are no whole numbers 5 is the smallest number so is the smallest fraction 6 is the next smallest number and there are 2 decimals to compare the next place value
Example 5-2a Order the fractions and from least to greatest. 2/ The 0 is smaller than the 6 so is the next fraction Then will be the next fraction Only one fraction remains, so is the largest fraction Answer:
Example 5-2c Order the fractions and from least to greatest. Answer: 2/2
End of Lesson 5 Assignment Lesson 5:5 Comparing and Ordering Fractions All
Example 5-3a A as arable land B as permanent pastures C as forests and woodland D B and C are equal MULTIPLE-CHOICE TEST ITEM According to the table, how is most land in the United States used? Source: CIA World Fact Book other forests and woodlands permanent pastures arable (cropland) Land Use in the United States First, find the LCM of the denominators 3/3
Example 5-3a Source: CIA World Fact Book other forests and woodlands permanent pastures arable (cropland) Land Use in the United States First, find the LCM of the denominators Circle the greatest power of each number and multiply 2 5 5 = 100 Convert fractions to like denominators by proportions 3/3
Example 5-3b Source: CIA World Fact Book other forests and woodlands permanent pastures arable (cropland) Land Use in the United States x x x How is most land in the United States used? Determine the largest numerator of like fractions 3/3
Example 5-3c So, is the greatest fraction. Answer: C Source: CIA World Fact Book other forests and woodlands permanent pastures arable (cropland) Land Use in the United States A as arable land B as permanent pastures C as forests and woodland D B and C are equal 3/3
Example 5-3d MULTIPLE-CHOICE TEST ITEM According to a survey data, what did most people say should be done with the length of the school year? keep the length the same shorten the school year lengthen the school year How long should the school year be? A lengthen the school year B shorten the school year C keep the length the same D cannot tell from the data Answer: A * 3/3