Questionc. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. as a terminating decimal is . (Type an integer or a decimal.) B. cannot be written as a terminating decimal.
Studdy Solution
STEP 1
1. We are given the fraction .
2. We need to determine if can be expressed as a terminating decimal.
3. If it can be expressed as a terminating decimal, we need to find that decimal.
STEP 2
1. Simplify the fraction.
2. Determine if the simplified fraction can be expressed as a terminating decimal.
3. Write the fraction as a decimal if it can be expressed as a terminating decimal.
STEP 3
Simplify the fraction .
STEP 4
Determine if can be expressed as a terminating decimal.
A fraction can be expressed as a terminating decimal if its denominator, after simplification, is a power of 2, a power of 5, or a product of powers of 2 and 5.
The denominator of is , which is a power of 2.
STEP 5
Write as a decimal.
The correct choice is:
A. as a terminating decimal is .
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