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91Ó°ÊÓ

Express each terminating decimal as a quotient of integers. If possible, reduce to lowest terms. \(0.7006\)

Short Answer

Expert verified
The decimal \(0.7006\) can be expressed as a quotient of integers, reduced to lowest terms, as \(\frac{3503}{5000}\).

Step by step solution

01

Express the decimal as a fraction

Write \(0.7006\) as \(\frac{7006}{10000}\). This means that out of 10000 equal parts, 7006 parts are being considered.
02

Simplify the fraction

Now, simplify the fraction \(\frac{7006}{10000}\) to its lowest terms. Both numbers are divisible by 2, so divide both the numerator and denominator by 2. The simplified fraction is \(\frac{3503}{5000}\). This fraction cannot be simplified any further because 3503 is a prime number.

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