Questions: Express the given terminating decimal as a quotient of integers, If possible, reduce to lowest terms. 0.87 = Blank1 / Blank2

Express the given terminating decimal as a quotient of integers, If possible, reduce to lowest terms.
0.87 = Blank1 / Blank2
Transcript text: Express the given terminating decimal as a quotient of integers, If possible, reduce to lowest terms. \[ 0.87=\frac{\text { Blank1 }}{\text { Blank2 }} \] Blank 1 Add your answer Blank 2 Add your answer
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Solution

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Solution Steps

To express the given terminating decimal as a quotient of integers, we can follow these steps:

  1. Write the decimal as a fraction with the decimal part as the numerator and the appropriate power of 10 as the denominator.
  2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by this GCD.
Step 1: Convert Decimal to Fraction

To express the decimal \(0.87\) as a fraction, we can write it as: \[ 0.87 = \frac{87}{100} \]

Step 2: Simplify the Fraction

Next, we simplify the fraction \(\frac{87}{100}\). The greatest common divisor (GCD) of \(87\) and \(100\) is \(1\). Therefore, the fraction is already in its simplest form: \[ \frac{87}{100} \]

Final Answer

The terminating decimal \(0.87\) can be expressed as the fraction: \[ \boxed{\frac{87}{100}} \]

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