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Convert to percentage:

Mathematics

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Here are the solutions to the problems:

1) Convert to percentage:

  • i)
  1. Convert the fraction to a percentage by multiplying by 100%100\%.

    $$
    \frac{19}{100} \times 100\%
    $$
    
  2. Simplify.

    $$
    \boxed{19\%}
    $$
    
    • ii)
  3. Convert the fraction to a percentage by multiplying by 100%100\%.

    $$
    \frac{3}{5} \times 100\%
    $$
    
  4. Simplify.

    $$
    3 \times 20\% = \boxed{60\%}
    $$
    
    • iii)
  5. Convert the fraction to a percentage by multiplying by 100%100\%.

    $$
    \frac{7}{10} \times 100\%
    $$
    
  6. Simplify.

    $$
    7 \times 10\% = \boxed{70\%}
    $$
    
    • iv)
  7. Convert the decimal to a percentage by multiplying by 100%100\%.

    $$
    0.21 \times 100\%
    $$
    
  8. Simplify.

    $$
    \boxed{21\%}
    $$
    
    • v)
  9. Convert the decimal to a percentage by multiplying by 100%100\%.

    $$
    0.05 \times 100\%
    $$
    
  10. Simplify.

    $$
    \boxed{5\%}
    $$
    
    • vi)
  11. Convert the decimal to a percentage by multiplying by 100%100\%.

    $$
    0.8 \times 100\%
    $$
    
  12. Simplify.

    $$
    \boxed{80\%}
    $$
    
    • vii)
  13. Convert the decimal to a percentage by multiplying by 100%100\%.

    $$
    3.76 \times 100\%
    $$
    
  14. Simplify.

    $$
    \boxed{376\%}
    $$
    
    • viii)
  15. Convert the mixed number to an improper fraction.

    $$
    2\frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{13}{5}
    $$
    
  16. Convert the fraction to a percentage by multiplying by 100%100\%.

    $$
    \frac{13}{5} \times 100\%
    $$
    
  17. Simplify.

    $$
    13 \times 20\% = \boxed{260\%}
    $$
    
    • ix)
  18. Convert the decimal to a percentage by multiplying by 100%100\%.

    $$
    2.5 \times 100\%
    $$
    
  19. Simplify.

    $$
    \boxed{250\%}
    $$
    

    2) Find the value:

    • a) 10% of 60
  20. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{10}{100} \times 60
    $$
    
  21. Simplify.

    $$
    \frac{1}{10} \times 60 = \boxed{6}
    $$
    
    • b) 20% of 45
  22. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{20}{100} \times 45
    $$
    
  23. Simplify.

    $$
    \frac{1}{5} \times 45 = \boxed{9}
    $$
    
    • c) 40% of 160
  24. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{40}{100} \times 160
    $$
    
  25. Simplify.

    $$
    \frac{4}{10} \times 160 = 4 \times 16 = \boxed{64}
    $$
    
    • d) 30% of 120
  26. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{30}{100} \times 120
    $$
    
  27. Simplify.

    $$
    \frac{3}{10} \times 120 = 3 \times 12 = \boxed{36}
    $$
    
    • e) 22% of 1000
  28. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{22}{100} \times 1000
    $$
    
  29. Simplify.

    $$
    22 \times 10 = \boxed{220}
    $$
    
    • f) 35% of 240
  30. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{35}{100} \times 240
    $$
    
  31. Simplify.

    $$
    \frac{35}{10} \times 24 = \frac{7}{2} \times 24 = 7 \times 12 = \boxed{84}
    $$
    
    • g) 5% of 800
  32. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{5}{100} \times 800
    $$
    
  33. Simplify.

    $$
    5 \times 8 = \boxed{40}
    $$
    
    • h) 18% of 3600
  34. Write the percentage as a fraction and multiply by the number.

    $$
    \frac{18}{100} \times 3600
    $$
    
  35. Simplify.

    $$
    18 \times 36 = \boxed{648}
    $$
    
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