Change the following to fraction and percentage. Q1. 3.5 Q2. 0.003 Q3. 13.472. Q4. 161.52

Mathematics

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Here are the conversions:

Q1. 3.5

  • Fraction: 3.5 can be written as 3 and 5/10, which simplifies to 3 and 1/2. As an improper fraction, this is (7)/(2).
  • Percentage: To convert a decimal to a percentage, multiply by 100. So, 3.5 × 100 = 350%.

Q2. 0.003

  • Fraction: 0.003 can be written as 3/1000. This fraction cannot be simplified further.
  • Percentage: 0.003 × 100 = 0.3%.

Q3. 13.472

  • Fraction: 13.472 can be written as 13 and 472/1000. Simplifying the fraction 472/1000 by dividing both numerator and denominator by 8 gives 59/125. So, the mixed number is 13 and (59)/(125). As an improper fraction, this is (13 × 125 + 59)/(125) = (1625 + 59)/(125) = (1684)/(125).
  • Percentage: 13.472 × 100 = 1347.2%.

Q4. 161.52

  • Fraction: 161.52 can be written as 161 and 52/100. Simplifying 52/100 by dividing both by 4 gives 13/25. So, the mixed number is 161 and (13)/(25). As an improper fraction, this is (161 × 25 + 13)/(25) = (4025 + 13)/(25) = (4038)/(25).
  • Percentage: 161.52 × 100 = 16152%.
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