converting repeating decimals to fractions worksheet 8th grade Converting repeating decimals to fractions practice Khan Academy Google Classroom Rewrite as a simplified fraction 0 7 Learn for free about math art computer programming economics physics chemistry biology
These free repeating decimals worksheets will help you prepare for your end of the year math exams You ll be converting repeating decimals into rational numbers and converting rational numers into repeating decimals Each worksheet is aligned to the 8th Grade Common Core Math Standards Converting Repeating Decimals to Fractions Name Answer Key Rewrite each infinitely repeating decimal as a rational number fraction 1 0 977 2 2 56 f 0 977 f 2 56 1 000f 977 77 100f 256 6 10f 009 77 10f 025 6 990f 968 90f 231 f 968 f 231 990 90 3 9 511 4 0 90756 f 9 511 f 0 90756
converting repeating decimals to fractions worksheet 8th grade
converting repeating decimals to fractions worksheet 8th grade
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Decimal To Fraction 3 Easy Steps Mashup Math
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Repeating Decimals To Fractions Worksheet
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The process of converting a repeating decimal to a fraction can be broken down into a few easy steps To start set the decimal equal to a variable Multiply the decimal by 10 and subtract the original decimal from it Finally divide both sides by 9 to obtain the fractional form of the decimal Converting Decimals and Fractions just got simpler with our free printable Math worksheets for Grade 8 students Math teachers can discover a variety of exercises to help students master this essential skill
Solution let x be the decimal x 0 8888 Since there is one repeating digit we need to find 10x Then 10x 8 888 Subtract x from 10x then 10x x 8 888 0 8888 8 Solve for x 9x 8 x frac 8 9 The answer is color red 0 8888 frac 8 9 Repeated decimals can be converted into fractions by shifting the decimal to the right and subtracting the decimals To do this multiply the number by 10 to the second power then subtract For example 0 363636 repeating is 4 11 and 0 7141414 repeating is 707 990 Another example is 3 257257257 repeating which is 3257 999
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Lesson 10 1 hour Converting Repeating Decimals to Fractions Students convert a decimal expansion that eventually repeats into a fraction Download Lesson Related Resources Math Grade 8 Curriculum Map topic A topic B topic C topic D Description Students understand irrational numbers are numbers that are not rational IXL Convert between repeating decimals and fractions 8th grade math Eighth grade B 1 Convert between repeating decimals and fractions WD6 Share skill Learn with an example or Watch a video Questions answered
Here are our worksheets to help you practice converting decimals to fractions The sheets within each section are graded with the easiest ones first The harder sheets involve both converting the decimals and then simplifying the fractions We also have separate sheets involving converting mixed decimals with a value greater than 1 into Worksheet 1 Multiple Repeating Digits Worksheet 2 Mixed Type Digits Worksheet 3 Shortcut Conversion Worksheet 4 Repeating Decimals to Fractions Worksheet Facts and Examples Repeating decimals follow a repetitive sequence after the decimal point The repetitive values can be converted into fractions
Repeating Decimals To Fractions Worksheet
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converting repeating decimals to fractions worksheet 8th grade - Solution let x be the decimal x 0 8888 Since there is one repeating digit we need to find 10x Then 10x 8 888 Subtract x from 10x then 10x x 8 888 0 8888 8 Solve for x 9x 8 x frac 8 9 The answer is color red 0 8888 frac 8 9