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Chapter 0: Problem 109

In Exercises \(103-110,\) insert either \(<,>,\) or \(=\) in the shaded area to make a true statement. $$\frac{17}{18} \cdot \frac{18}{17} \quad \frac{50}{60}-\frac{5}{6}$$

Short Answer

Expert verified
The symbol that must be inserted to make the statement true is \(\>\).

Step by step solution

01

Simplify the Left-Hand Side Operation

The left-hand side of the inequality is \(\frac{17}{18} \cdot \frac{18}{17}\). These are two reciprocal fractions - when multiplied, the result will be 1.
02

Simplify the Right-Hand Side Operation

The right-hand side of the inequality is \(\frac{50}{60}-\frac{5}{6}\). First, simplify the fraction \(\frac{50}{60}\) by dividing the numerator and denominator by 10 to get \(\frac{5}{6}\). Now the operation is \(\frac{5}{6} - \frac{5}{6}\). Subtracting a number from itself will give us 0.
03

Compare the Results

From steps 1 and 2, we know that the left-hand side evaluates to 1 while the right-hand side evaluates to 0. Comparing these two, 1 is clearly greater than 0.

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