Fractions, decimals & percentages

• What is the first step to convert a percentage to a decimal?

  Divide by 100
• How do you convert 6% to a decimal?

  0.06

  
• What is 40% as a decimal?

  0.4
• Convert 350% to a decimal.

  1. 5

  
• What is 0.2% as a decimal?

  0.002

  
• What is the first step to convert a decimal to a percentage?

  Multiply by 100
• How do you convert 0.35 to a percentage?

  35%
• What is 1.32 as a percentage?

  132%
• Convert 0.004 to a percentage.

  0.4%
• How do you convert a decimal to a fraction if it has one decimal place?

  Write the digits over 10

  
• Convert 0.3 to a fraction.


  \(\frac{3}{10}\)

  
• What is 1.1 as a fraction?


  \(\frac{11}{10}\)
• How do you convert a decimal with two decimal places to a fraction?

  Write the digits over 100
• Convert 0.07 to a fraction.


  \(\frac{7}{100}\)

  
• What is 0.13 as a fraction?


  \(\frac{13}{100}\)

  
• Convert 30.01 to a fraction.


  \(\frac{3001}{100}\)

  
• How do you convert a decimal with n decimal places to a fraction?

  Write the digits over \(10^n\)
• Convert 0.513 to a fraction.


  \(\frac{513}{1000}\)

  
• What is 0.0007 as a fraction?


  \(\frac{7}{10000}\)

  
• How can simple recurring decimals be expressed as fractions?

  Learn them as fractions
• What is the fraction representation of \(0.33333...\)?


  \(\frac{1}{3}\)

  
• What is the fraction representation of \(0.66666...\)?


  \(\frac{2}{3}\)

  
• How can whole numbers be expressed as fractions?

  By writing them over 1
• What is the fraction representation of the whole number 5?


  \(\frac{5}{1}\)

  
• How do you convert a percentage to a fraction?

  Write the percentage over 100
• Convert 37% to a fraction.


  \(\frac{37}{100}\)

  
• How do you convert a fraction to a decimal?

  Change the fraction into a decimal
• What is \(\frac{3}{5}\) as a decimal?

  0.6
• Convert \(\frac{7}{20}\) to a decimal.

  0.35

  
• What is \(\frac{1}{500}\) as a decimal?

  0.002

  
• How do you convert a fraction to a percentage?

  Change the fraction into a decimal and then multiply by 100
• Convert \(\frac{4}{5}\) to a percentage.

  80%
• What can be used to check conversions between fractions and decimals?

  A calculator
• What is a recurring decimal?

  A decimal that repeats with a pattern

  
• What is a rational number?

  A number that can be written as an integer divided by another integer
• What is a terminating decimal?

  A decimal that stops
• How can the recurring part of a decimal be represented?

  With a dot or dots on the first and last recurring digit
• How do you write a recurring decimal as a fraction?

  Use a variable, multiply by 10, subtract, and divide
• What is the first step to convert \(0.3333...\) to a fraction?

  Use a variable to represent the number
• How do you check if the fraction for \(0.3333...\) is correct?

  Type the fraction in a calculator and change it to a decimal