Questions: 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
Solution
Solution Steps
To express the given terminating decimal as a quotient of integers, we can follow these steps:
Write the decimal as a fraction with the decimal part as the numerator and the appropriate power of 10 as the denominator.
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:
\[
\boxed{\frac{87}{100}}
\]