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Drag the expressions to the table to show whether the product is less than 1/5, greater than 1/5, or equal to 1/5.

Tell me which ones are greater, equal or less then 1/5
5/5 x 1/5
6/1 x 1/5
9/4 x 1/5
1/5 x 6/7
2/2 x 1/5
1/4 x 1/5

1 answer

Let's analyze each expression by calculating the product and comparing it to \( \frac{1}{5} \).

  1. \( \frac{5}{5} \times \frac{1}{5} \)

    • Calculation: \( 1 \times \frac{1}{5} = \frac{1}{5} \)
    • Equal to \( \frac{1}{5} \)

  2. \( \frac{6}{1} \times \frac{1}{5} \)

    • Calculation: \( 6 \times \frac{1}{5} = \frac{6}{5} \)
    • Greater than \( \frac{1}{5} \)

  3. \( \frac{9}{4} \times \frac{1}{5} \)

    • Calculation: \( \frac{9}{4} \times \frac{1}{5} = \frac{9}{20} \)
    • To compare, convert \( \frac{1}{5} \) to a fraction with a common denominator: \( \frac{1}{5} = \frac{4}{20} \) \( \frac{9}{20} > \frac{4}{20} \)
    • Greater than \( \frac{1}{5} \)

  4. \( \frac{1}{5} \times \frac{6}{7} \)

    • Calculation: \( \frac{1}{5} \times \frac{6}{7} = \frac{6}{35} \)
    • To compare, convert \( \frac{1}{5} \) to a fraction with a common denominator: \( \frac{1}{5} = \frac{7}{35} \) \( \frac{6}{35} < \frac{7}{35} \)
    • Less than \( \frac{1}{5} \)

  5. \( \frac{2}{2} \times \frac{1}{5} \)

    • Calculation: \( 1 \times \frac{1}{5} = \frac{1}{5} \)
    • Equal to \( \frac{1}{5} \)

  6. \( \frac{1}{4} \times \frac{1}{5} \)

    • Calculation: \( \frac{1}{4} \times \frac{1}{5} = \frac{1}{20} \)
    • To compare, note that \( \frac{1}{20} < \frac{1}{5} \) (or \( \frac{1}{5} = \frac{4}{20} \))
    • Less than \( \frac{1}{5} \)

Summary:

  • Equal to \( \frac{1}{5} \):

    • \( \frac{5}{5} \times \frac{1}{5} \)
    • \( \frac{2}{2} \times \frac{1}{5} \)

  • Greater than \( \frac{1}{5} \):

    • \( \frac{6}{1} \times \frac{1}{5} \)
    • \( \frac{9}{4} \times \frac{1}{5} \)

  • Less than \( \frac{1}{5} \):

    • \( \frac{1}{5} \times \frac{6}{7} \)
    • \( \frac{1}{4} \times \frac{1}{5} \)