Math Practice: Converting Decimals to Fractions

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Learn how to convert recurring and non-recurring decimals into fractions in this comprehensive math practice resource. Explore examples and exercises to master converting decimal numbers to fractions and vice versa. Improve your mathematical skills with step-by-step guidance and practical activities.


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  1. Recurring decimals to fractions Recurring decimals to fractions (2 exercises) (2 exercises) Silent Teacher Intelligent Practice Your Turn Narration 0.25 0.1616161616 0.16 0.312312312312312 Practice

  2. Worked Example Your Turn Convert in to a decimal Convert in to a decimal 1 = 6 . 5 = 6

  3. Convert in to a decimal 1 = 7 1 = 3 2 = 3 2 = 7 2 = 6 3 = 7 3 = 6 4= 7 4 = 6 5= 7 6 = 6 6= 7 7 = 6

  4. Convert in to a decimal 1 = 0.3333333333 .. 3 1 = 0.142857142 7 2 = 0.6666666 . 3 2 = 0. 2857142 7 2 = 0.333333333 .. 6 3 = 0. 42857142 7 3 = 0.5 6 4= 0.57142857 7 4 = 0.66666666666 6 5= 0. 71428571 7 6 = 1.0 6 6= 0.857142857 7 7 = 1.16666666666 6

  5. Worked Example Your Turn Convert to a recurring decimal to a fraction Convert to a recurring decimal to a fraction . . 0.5 as a fraction 0.7 as a fraction . . 0.37 0.5252525252 .. . . 0.152 0.43737373737 ..

  6. Convert into a fraction in its simplest form . 0.3 . . 0.34 . . 0.35 . . 0.357 . 0.4 . 0.04 . 0.14 . 0.014 .. 0.143 . 1.4 . 1.04 .. 1.14 .. 1.014 . 2.4 .. 2.43 .. 3.43 .. 3.043

  7. Convert into a fraction in its simplest form . 0.3 . . 0.34 . . 0.35 . . 0.357 . 0.4 . 0.04 . 0.14 . 0.014 .. 0.143 990 495 3 9 3 1 . 13 9 1.4 . 1.04 .. 1.14 .. 1.014 . 2.4 .. 2.43 .. 3.43 .. 3.043 34 99 94 90 45 47 35 99 357 119 999 333 113 99 1004 990 4 9 4 2 90 45 22 9 241 99 13 90 13 900 340 99 3013 990 142 71

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