High School

1. Write T for true and F for false.

A. [tex]\frac{1}{6}[/tex] of 42 = 7

B. [tex]\frac{1}{10}[/tex] of 20 = 5

C. [tex]\frac{4}{7}[/tex] of 14 = 8

D. [tex]\frac{2}{15}[/tex] of 30 = 4

E. [tex]\frac{7}{11}[/tex] is a proper fraction

F. [tex]\frac{26}{7}[/tex] is an improper fraction

Answer :

Let's analyze each statement to determine if it is true (T) or false (F):

  1. [tex]\frac{1}{6}[/tex] of 42 = 7

    Calculation:

    [tex]\frac{1}{6} \times 42 = \frac{42}{6} = 7[/tex]

    This statement is True (T).

  2. [tex]\frac{1}{10}[/tex] of 20 = 5

    Calculation:

    [tex]\frac{1}{10} \times 20 = \frac{20}{10} = 2[/tex]

    This statement is False (F).

  3. [tex]\frac{4}{7}[/tex] of 14 = 8

    Calculation:

    [tex]\frac{4}{7} \times 14 = \frac{56}{7} = 8[/tex]

    This statement is True (T).

  4. [tex]\frac{2}{15}[/tex] of 30 = 4

    Calculation:

    [tex]\frac{2}{15} \times 30 = \frac{60}{15} = 4[/tex]

    This statement is True (T).

  5. [tex]\frac{7}{11}[/tex] is a proper fraction

    A proper fraction is one where the numerator is less than the denominator, which is the case here ([tex]7 < 11[/tex]).

    This statement is True (T).

  6. [tex]\frac{26}{7}[/tex] is an improper fraction

    An improper fraction is one where the numerator is greater than the denominator, which is true here ([tex]26 > 7[/tex]).

    This statement is True (T).

Therefore, the correct responses are:

  1. T
  2. F
  3. T
  4. T
  5. T
  6. T