To determine which of the given numbers is irrational, let's analyze each option:
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A fraction with numerator negative 9 and denominator 5: This is \(-\frac{9}{5}\), which is a rational number since it can be expressed as a fraction of two integers.
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A fraction with numerator square root of 5: This is \(\frac{\sqrt{5}}{1}\). The square root of 5 is an irrational number, so this fraction represents an irrational number.
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A fraction with numerator 7 and denominator 3: This is \(\frac{7}{3}\), which is a rational number since it can also be expressed as a fraction of two integers.
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Square root of 9: This is \(\sqrt{9} = 3\), which is a rational number since it can be expressed as the integer 3.
The only number from the list that is irrational is a fraction with numerator square root of 5.
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