We read your photo as:

Find the values of the following fractions of numbers: a) 1/2 of 16, b) 1/5 of 20, c) 1/7 of 42, d) 1/10 of 40, e) 4/5 of 35, f) 2/3 of 36.

Mathematics

ScanSolve AI Answer

Step-by-step solution

47 steps

Here are the solutions to your questions:

1. Find the values of the following:

a) 12\frac{1}{2} of 16

  1. Multiply the fraction by the number.

    12×16=1×162=162\frac{1}{2} \times 16 = \frac{1 \times 16}{2} = \frac{16}{2}

  2. Simplify the fraction.

    162=8\frac{16}{2} = 8

    The value is 8\boxed{\text{8}}.

    b) 15\frac{1}{5} of 20

  3. Multiply the fraction by the number.

    15×20=1×205=205\frac{1}{5} \times 20 = \frac{1 \times 20}{5} = \frac{20}{5}

  4. Simplify the fraction.

    205=4\frac{20}{5} = 4

    The value is 4\boxed{\text{4}}.

    c) 17\frac{1}{7} of 42

  5. Multiply the fraction by the number.

    17×42=1×427=427\frac{1}{7} \times 42 = \frac{1 \times 42}{7} = \frac{42}{7}

  6. Simplify the fraction.

    427=6\frac{42}{7} = 6

    The value is 6\boxed{\text{6}}.

    d) 110\frac{1}{10} of 40

  7. Multiply the fraction by the number.

    110×40=1×4010=4010\frac{1}{10} \times 40 = \frac{1 \times 40}{10} = \frac{40}{10}

  8. Simplify the fraction.

    4010=4\frac{40}{10} = 4

    The value is 4\boxed{\text{4}}.

    e) 45\frac{4}{5} of 35

  9. Multiply the fraction by the number.

    45×35=4×355=1405\frac{4}{5} \times 35 = \frac{4 \times 35}{5} = \frac{140}{5}

  10. Simplify the fraction.

    1405=28\frac{140}{5} = 28

    The value is 28\boxed{\text{28}}.

    f) 23\frac{2}{3} of 36

  11. Multiply the fraction by the number.

    23×36=2×363=723\frac{2}{3} \times 36 = \frac{2 \times 36}{3} = \frac{72}{3}

  12. Simplify the fraction.

    723=24\frac{72}{3} = 24

    The value is 24\boxed{\text{24}}.

    g) 910\frac{9}{10} of 100

  13. Multiply the fraction by the number.

    910×100=9×10010=90010\frac{9}{10} \times 100 = \frac{9 \times 100}{10} = \frac{900}{10}

  14. Simplify the fraction.

    90010=90\frac{900}{10} = 90

    The value is 90\boxed{\text{90}}.

    h) 67\frac{6}{7} of 84

  15. Multiply the fraction by the number.

    67×84=6×847=5047\frac{6}{7} \times 84 = \frac{6 \times 84}{7} = \frac{504}{7}

  16. Simplify the fraction.

    5047=72\frac{504}{7} = 72

    The value is 72\boxed{\text{72}}.

    2. Work out the following:

    a) 13×12\frac{1}{3} \times 12

  17. Multiply the numerator by the whole number and divide by the denominator.

    13×12=1×123=123\frac{1}{3} \times 12 = \frac{1 \times 12}{3} = \frac{12}{3}

  18. Simplify the fraction.

    123=4\frac{12}{3} = 4

    The product is 4\boxed{\text{4}}.

    b) 14×8\frac{1}{4} \times 8

  19. Multiply the numerator by the whole number and divide by the denominator.

    14×8=1×84=84\frac{1}{4} \times 8 = \frac{1 \times 8}{4} = \frac{8}{4}

  20. Simplify the fraction.

    84=2\frac{8}{4} = 2

    The product is 2\boxed{\text{2}}.

    c) 34×8\frac{3}{4} \times 8

  21. Multiply the numerator by the whole number and divide by the denominator.

    34×8=3×84=244\frac{3}{4} \times 8 = \frac{3 \times 8}{4} = \frac{24}{4}

  22. Simplify the fraction.

    244=6\frac{24}{4} = 6

    The product is 6\boxed{\text{6}}.

    d) 45×20\frac{4}{5} \times 20

  23. Multiply the numerator by the whole number and divide by the denominator.

    45×20=4×205=805\frac{4}{5} \times 20 = \frac{4 \times 20}{5} = \frac{80}{5}

  24. Simplify the fraction.

    805=16\frac{80}{5} = 16

    The product is 16\boxed{\text{16}}.

    e) 23×9\frac{2}{3} \times 9

  25. Multiply the numerator by the whole number and divide by the denominator.

    23×9=2×93=183\frac{2}{3} \times 9 = \frac{2 \times 9}{3} = \frac{18}{3}

  26. Simplify the fraction.

    183=6\frac{18}{3} = 6

    The product is 6\boxed{\text{6}}.

    f) 16×36\frac{1}{6} \times 36

  27. Multiply the numerator by the whole number and divide by the denominator.

    16×36=1×366=366\frac{1}{6} \times 36 = \frac{1 \times 36}{6} = \frac{36}{6}

  28. Simplify the fraction.

    366=6\frac{36}{6} = 6

    The product is 6\boxed{\text{6}}.

    g) 56×24\frac{5}{6} \times 24

  29. Multiply the numerator by the whole number and divide by the denominator.

    56×24=5×246=1206\frac{5}{6} \times 24 = \frac{5 \times 24}{6} = \frac{120}{6}

  30. Simplify the fraction.

    1206=20\frac{120}{6} = 20

    The product is 20\boxed{\text{20}}.

    h) 49×45\frac{4}{9} \times 45

  31. Multiply the numerator by the whole number and divide by the denominator.

    49×45=4×459=1809\frac{4}{9} \times 45 = \frac{4 \times 45}{9} = \frac{180}{9}

  32. Simplify the fraction.

    1809=20\frac{180}{9} = 20

    The product is 20\boxed{\text{20}}.

    3. At 10 years Kgomotso was 13\frac{1}{3} the weight of her father. If her father was 108 kg, what was her weight?

  33. Identify the father's weight and the fraction representing Kgomotso's weight.

    Father's weight = 108 kg.
    Kgomotso's weight = 13\frac{1}{3} of father's weight.

  34. Calculate Kgomotso's weight.

    Kgomotso’s weight=13×108 kg=1083 kg\text{Kgomotso's weight} = \frac{1}{3} \times 108 \text{ kg} = \frac{108}{3} \text{ kg}

  35. Simplify the expression.

    1083=36 kg\frac{108}{3} = 36 \text{ kg}

    Kgomotso's weight was 36 kg\boxed{\text{36 kg}}.

    4. In a certain month in winter, BMC killed 34\frac{3}{4} of its normal number of cattle. If it normally killed 6600 cattle, how many did it kill in this month?

  36. Identify the normal number of cattle and the fraction killed.

    Normal cattle killed = 6600.
    Fraction killed in winter = 34\frac{3}{4}.

  37. Calculate the number of cattle killed in winter.

    Cattle killed=34×6600\text{Cattle killed} = \frac{3}{4} \times 6600

  38. Multiply the numerator by the total and divide by the denominator.

    Cattle killed=3×66004=198004\text{Cattle killed} = \frac{3 \times 6600}{4} = \frac{19800}{4}

  39. Simplify the expression.

    198004=4950\frac{19800}{4} = 4950

    BMC killed 4950 cattle\boxed{\text{4950 cattle}} in that month.

    5. A bag contains counters. 35\frac{3}{5} of the counters are blue. How many counters are blue if there are 60 counters in the bag?

  40. Identify the total number of counters and the fraction that are blue.

    Total counters = 60.
    Fraction of blue counters = 35\frac{3}{5}.

  41. Calculate the number of blue counters.

    Blue counters=35×60\text{Blue counters} = \frac{3}{5} \times 60

  42. Multiply the numerator by the total and divide by the denominator.

    Blue counters=3×605=1805\text{Blue counters} = \frac{3 \times 60}{5} = \frac{180}{5}

  43. Simplify the expression.

    1805=36\frac{180}{5} = 36

    There are 36 blue counters\boxed{\text{36 blue counters}} in the bag.

    6. Of the 9380 people tested for HIV, 320\frac{3}{20} of them were HIV positive. How many people were HIV positive?

  44. Identify the total number of people tested and the fraction that were HIV positive.

    Total people tested = 9380.
    Fraction HIV positive = 320\frac{3}{20}.

  45. Calculate the number of people who were HIV positive.

    HIV positive people=320×9380\text{HIV positive people} = \frac{3}{20} \times 9380

  46. Multiply the numerator by the total and divide by the denominator.

    HIV positive people=3×938020=2814020\text{HIV positive people} = \frac{3 \times 9380}{20} = \frac{28140}{20}

  47. Simplify the expression.

    2814020=1407\frac{28140}{20} = 1407

    There were 1407 people\boxed{\text{1407 people}} who were HIV positive.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QCalculate the following fractions: a) 2/3 + 1/3, b) 3/5 + 1/5, c) 4/5 + 5/10, d) 3/8 + 1/4, e) 5/6…QSolve the following multiplication problems involving fractions and whole numbers: a) 1/2 26 b) 1/7…QFind the product of the following fractions: (a) 2/7 7/9 (b) 5/8 3/7 (c) 4/15 9/16 (d) 4 3/5 (e) 7…QSolve the following fraction problems: a) 1/4 + 1/2 b) 7/8 − 1/2 c) 7/10 + 2/5 d) 5/7 + 2/21QSolve the following fraction problems: a) 2/5 + 4/5 b) 5/9 + 6/9 c) 3/4 − 2/4 d) 7/10 + 5/10 e) 5/6…
Browse by topic:Pre-Algebra
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp