QuestionExpress the number as a ratio of integers.
Studdy Solution
STEP 1
1. The number is a repeating decimal.
2. The repeating part of the decimal is .
3. We need to express this number as a ratio of two integers.
STEP 2
1. Define the repeating decimal.
2. Set up an equation to eliminate the repeating part.
3. Solve for the ratio of integers.
STEP 3
Let .
STEP 4
Multiply by to shift the decimal point three places to the right, aligning the repeating part.
STEP 5
Multiply by to shift the decimal point one place to the right.
STEP 6
Subtract the equation for from the equation for to eliminate the repeating decimal.
STEP 7
Solve for by dividing both sides by .
STEP 8
Simplify the fraction if possible. Check for common factors.
After checking, the fraction is already in its simplest form.
The number expressed as a ratio of integers is:
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