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Numbers - Fractions, Decimals and Percentages

Decimals are just another way of writing fractions —so it's easy to convert between the two... 0.36 = 36/100 = 18/50 = 9/25
  1. Without using a calculator, write the following fractions as decimals:
    1. 3/10 ____________
    2. 2/5 ____________
    3. 14/8 ____________
    4. 24/40 ____________
    5. 37/100 ____________
    6. 3/8 ____________
    7. 8/64 ____________
    8. 4/80 ____________
  2. Fill in the gaps in the following conversion table:
    Fraction Decimal
    1/2 0.5
    1/5 ____________
    ____________ 0.125
    ____________ 1.6
    4/16 ____________
    7/12 ____________
    ____________ 0.x
    x/100 ____________
    3/20 ____________
    ____________ 0.45
  3. Write the following fractions as recurring decimals:
    1. 5/6 ____________
    2. 7/11 ____________
    3. 10/11 ____________
    4. 478/999 ____________
    5. 7/9 ____________
    6. 47/99 ____________
    7. 29/63 ____________
    8. 589/999 ____________
  4. Write the following decimals as fractions in their lowest form:
    1. 0.6 ____________
    2. 0.75 ____________
    3. 0.95 ____________
    4. 0.128 ____________
    5. 0.3 ____________
    6. 0.6 ____________
    7. 0.1111111 recurring ____________
  5. Write the following recurring decimals as fractions in their lowest form:
    1. 0.222... ____________
    2. 0.444... ____________
    3. 0.888... ____________
    4. 0.121212... ____________
    5. 0.753753753... ____________
    6. 0.808080... ____________
    7. 0.545545545... ____________
    8. 0.156156156... ____________

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