paper 1 non calc

• What is the first step in solving the problem "three-fifths of a number is 48"?

  Recognize that three-fifths equals 48
• How do you find the value of one-fifth in the problem?

  Divide 48 by 3
• What is the result of dividing 48 by 3?

  16
• How do you find the original number from the value of one-fifth?

  Multiply 16 by 5
• What is the final answer for the original number?

  80
• What is the first step in adding mixed numbers?

  Convert mixed numbers to improper fractions
• How do you convert three and four-fifths to an improper fraction?

  Multiply 3 by 5 and add 4
• What is the improper fraction for three and four-fifths?

  19/5
• What is needed to add fractions with different denominators?

  A common denominator
• What is the lowest common multiple of 5 and 7?

  35
• How do you create equivalent fractions with a common denominator?

  Multiply top and bottom by the same number
• What is 19 times 7?

  133
• What is the result of adding 133 and 15?

  148
• How do you convert an improper fraction to a mixed number?

  Divide the numerator by the denominator
• How many times does 35 go into 148?

  4 times
• What is the remainder when 148 is divided by 35?


  8
• Does the fraction 8/35 simplify?

  No, it does not simplify
• What is the final answer for the mixed number?

  4 and 8/35
• What is the first step in dividing mixed numbers?

  Convert to improper fractions
• How do you convert one and one-fifth to an improper fraction?

  Multiply 1 by 5 and add 1
• What is the improper fraction for one and one-fifth?

  6/5
• What do you do with the second fraction when dividing?

  Flip it to its reciprocal
• What is the result of multiplying 6 by 4?

  24
• What is the denominator when multiplying 5 by 3?

  15
• How do you convert 24/15 to a mixed number?

  Divide 24 by 15
• What is the mixed number for 24/15?

  1 and 9/15
• How do you simplify the fraction 9/15?

  Divide both by 3
• What is the final simplified answer for the division problem?

  1 and 3/5
• How do you write 0.47 with a recurring dot as a fraction?

  Use algebra to convert it
• What is the first step in converting 0.47 recurring to a fraction?

  Let x equal 0.47 recurring
• What happens when you multiply 0.47 recurring by 10?

  You get 4.7 recurring
• What is the benefit of subtracting the two equations in the recurring decimal problem?

  It cancels out the recurring part
• What is the final step in converting the recurring decimal to a fraction?

  Express the result as a fraction
• What are the key steps in solving a division problem with mixed numbers?

  1. Convert mixed numbers to improper fractions
  2. Flip the second fraction (reciprocal)
  3. Multiply the fractions
  4. Convert back to a mixed number if needed
  5. Simplify the fraction if possible
• What is the decimal representation of the recurring decimal 0.47 with recurring sevens?

  0.477777...
• What do you multiply a recurring decimal by to eliminate the decimal part?

  By 10 for one recurring decimal
• If you multiply 0.47 by 10, what is the result?

  1. 7
• Why do we subtract the two equations after multiplying by 10?

  To cancel out the recurring decimals
• What is the result of 4.77 - 0.47?

  1. 3
• What does 10x - x equal when x is a recurring decimal?

  9x