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Chapter 3: Problem 44

What is \(-\frac{7}{12}\) minus \(\frac{7}{9} ?\)

Short Answer

Expert verified
The answer is \(-\frac{49}{36}\).

Step by step solution

01

Find a common denominator

A common denominator between 12 and 9 is 36 (since both 12 and 9 divide evenly into 36).
02

Convert fractions to equivalent fractions with the common denominator

To convert \(-\frac{7}{12}\) to a fraction with a denominator of 36, multiply both the numerator and the denominator by 3, resulting in \(-\frac{21}{36}\). To convert \(\frac{7}{9}\) to a fraction with a denominator of 36, multiply both the numerator and the denominator by 4, resulting in \(\frac{28}{36}\).
03

Subtract the fractions

Now that the fractions have the same denominator, subtract the numerators. So, \(-\frac{21}{36} - \frac{28}{36} = -\frac{49}{36}\).

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