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Understanding Decimal and Fraction Conversions: A Comprehensive Guide

This worksheet provides detailed guidance on converting decimals to fractions and vice versa, explaining the process of dividing the numerator by the denominator. With memorable mnemonics such as "the cowboy rides the horse," students can visualize conversions. The document further covers converting decimals to percents and vice versa, illustrating how to shift decimal points. It emphasizes the importance of aligning place values for clear comparisons of fractions, decimals, and percents, with practical steps provided for identifying equivalent values.

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Understanding Decimal and Fraction Conversions: A Comprehensive Guide

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  1. Warm Up:

  2. Mixed Number Worksheet

  3. Converting Decimals to Fractions(Place Value) Converting Fractions to Deimals In order to change a fraction to a decimal you must divide the numerator by the denominator You can remember this by the cowboy rides the horse- The cowboy goes inside the house and the horse stays outside of the house 50 10

  4. Decimals to PercentsPercents to Decimals • Percent: parts per hundred • percents are simply fractions with a denominator of 100 showing parts per hundred 83% = = .83 52.5% = = .525 Dr. Pepper Decimal to Percent Percent to Decimal .DP: Decimal to Percent- Move the decimal point two to the right, so the decimal point is now behind the P DP.: Percent to Decimal- Move the decimal point two to the left so that the decimal point is now in front of the D This works because you are dividing by 100 and when you divide a fraction like you’ll notice the pattern with the decimal point

  5. = Equivalent Numbers = * The best way to compare numbers is to have them all in decimals and line up the place value of each number. The answer becomes obvious! Which numbers are equivalent to 0.25? 25% 0.250 4% 2.5 Steps to Solve: #1: Convert all numbers to decimals #2: Box it, Fill it, Frame it #3: Find the numbers that are equivalent to .25 and circle them

  6. Pg. 242

  7. Pg. 245-246 1-20, 22 and 24

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