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Chapter 1: Problem 76

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{17}{5}-\frac{2}{5}$$

Short Answer

Expert verified
The answer is 3.

Step by step solution

01

Identify The Fractions

The fractions are \( \frac{17}{5} \) and \( \frac{2}{5} \). Here, both fractions have the same denominator which is 5.
02

Subtract The Fractions

Since the denominators are the same, the fractions can be subtracted by simply subtracting the numerators. Result is \( \frac{17-2}{5} = \frac{15}{5} \).
03

Reduce Fraction To Lowest Terms

The fraction \( \frac{15}{5} \) can be reduced to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor which is 5. Hence, \( \frac{15}{5} = \frac{15 \div 5}{5 \div 5} = 3 \).

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