Which fraction is a terminating decimal when written in decimal form?
A.
B.
C.
D.
To determine which fraction is a terminating decimal when written in decimal form, we need to identify which fractions have denominators that are powers of 10 (such as 10, 100, 1000, etc.).
Looking at the options:
A. has a denominator of 6, which is not a power of 10.
B. has a denominator of 15, which is not a power of 10.
C. has a denominator of 8, which is not a power of 10.
D. has a denominator of 25, which is not a power of 10.
Based on the options given, none of the fractions mentioned is a terminating decimal.
To determine which fraction is a terminating decimal when written in decimal form, we need to identify fractions where the decimal representation has a finite number of digits.
A terminating decimal is a decimal number that ends or terminates after a certain number of digits, without repeating or going on forever.
To convert a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number).
Let's examine each of the given fractions:
A.
The fraction can be calculated as = 0.625. When we express this as a decimal, it terminates after 3 decimal places. Therefore, A is a terminating decimal.
B.
The fraction can be calculated as = 0.333333... The decimal representation of this repeating fraction goes on forever, never terminating. Therefore, B is not a terminating decimal.
C.
The fraction can be calculated as = 0.75. When we express this as a decimal, it terminates after 2 decimal places. Therefore, C is a terminating decimal.
D.
The fraction can be calculated as = 0.9. When we express this as a decimal, it doesn't terminate but repeats the digit 9 infinitely. Therefore, D is not a terminating decimal.
In conclusion, the fractions that are terminating decimals are A and C.