Question

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Which statement is true about the fraction 5/75 ? Check all that apply.


Multiplying the numerator and the denominator by 12 will give the fraction a denominator of 1,000 so it can be easily converted to a decimal.
To determine its decimal equivalent, 75 can be divided by 5.
The fraction can be reduced before converting it into a decimal.
The decimal equivalent is a terminating decimal.
The decimal equivalent is a repeating decimal.

Answer 1

TRUE; The fraction can be reduced before converting it into a decimal.

TRUE; The decimal equivalent is a repeating decimal.

Explanation:

FALSE; Multiplying the numerator and the denominator by 12 will give the fraction a denominator of 1,000 so it can be easily converted to a decimal. (75 x 12 = 900 and not 1,000)

FALSE; To determine its decimal equivalent, 75 can be divided by 5. (75 divided by 5 = 15)

TRUE; The fraction can be reduced before converting it into a decimal (5 divided by 5 = 1 & 75 divided by 5 = 15 so 5/75 = 1/15)

FALSE; The decimal equivalent is a terminating decimal. (5/75 = 0.06666666)

TRUE; The decimal equivalent is a repeating decimal. (5/75 = 0.0666666666)