To convert repeating decimals to fractions start by writing an equation where x equals your original number. This math worksheet was created on 2016 10 21 and has been viewed 130 times this week and 825 times this month.
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For example x 0 4444.
Converting repeating decimals to fractions worksheet answer key. Converting metric units worksheet. Converting repeating decimals to fractions student outcomes students know the intuitive reason why every repeating decimal is equal to a fraction. Some simple decimal numbers are quite easy to convert into a fraction.
This math worksheet was created on 2016 10 21 and has been viewed 51 times this week and 799 times this month. Showing top 8 worksheets in the category converting decimals to fractions with answers. Converting repeating decimals in to fractions.
However when the decimal is repeating the solution is a bit more complicated. For example interpret 3 4 as the result of dividing 3 by 4 noting that 3 4 multiplied by 4 equals 3 and that when 3 wholes are shared equally among. Students convert a decimal expansion that eventually repeats into a fraction.
Covert the given repeating decimal into fraction. Decimal representation of rational numbers. Practice converting 1 and 2 digit repeating decimals to fractions.
Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers e g by using visual fraction models or equations to represent the problem. Some of the worksheets displayed are fractions and decimals converting fractions decimals and percents decimals work converting fractions to terminating converting decimals to fractions fraction and decimal word problems no problem name classset convert recurring decimals to fractions convert. It may be printed downloaded or saved and used in your classroom home school or other educational environment to help someone learn math.
Lesson 10 student outcomes students know the intuitive reason why every repeating decimal is equal to a fraction. Then multiply both sides of the equation by 10 1 since there s just 1 repeating digit in your original number to get 10x 4 4444. About this quiz worksheet.
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The following diagram shows how to convert a repeating decimal to a fraction.
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