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