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You would like to give 20% of your 45 marbles to your best friend. How many marbles would you give to your friend?

Mathematics

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Answer

57<911\frac{5}{7} < \frac{9}{11}

0.74>50%0.74 > 50\%

Step-by-step solution

4 steps

let's continue with Question 3.3.

3: Replace the * with (<, > or =) to make the statement true.

3.3.1: 57∗911\frac{5}{7} * \frac{9}{11}

  1. To compare the fractions, find a common denominator or cross-multiply.

    Let's cross-multiply.
    Multiply the numerator of the first fraction by the denominator of the second:

    5×11=555 \times 11 = 55

    Multiply the numerator of the second fraction by the denominator of the first:

    9×7=639 \times 7 = 63
  2. Compare the results.

    Since 55<6355 < 63, the first fraction is smaller than the second.

    Therefore, 57<911\frac{5}{7} < \frac{9}{11}.

    3.3.2: 0.74∗50%0.74 * 50\%

  3. Convert the percentage to a decimal to compare it with 0.74.

    50%=50100=0.5050\% = \frac{50}{100} = 0.50
  4. Compare the two decimal numbers.

    0.74 and 0.500.74 \text{ and } 0.50

    Since 0.74 is greater than 0.50.

    Therefore, 0.74>50%0.74 > 50\%.

    The completed statements are:
    3.3.1: 57<911\boxed{\frac{5}{7} < \frac{9}{11}}
    3.3.2: 0.74>50%\boxed{0.74 > 50\%}

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