The given expression is \(\frac{9}{8} \div \frac{5}{4}\).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of \(\frac{5}{4}\) is \(\frac{4}{5}\).
Thus, \(\frac{9}{8} \div \frac{5}{4} = \frac{9}{8} \cdot \frac{4}{5}\).
Multiplying the numerators and denominators, we get \(\frac{9 \cdot 4}{8 \cdot 5} = \frac{36}{40}\).
The fraction \(\frac{36}{40}\) can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 4.
So, \(\frac{36}{40} = \frac{36 \div 4}{40 \div 4} = \frac{9}{10}\).
Hence, the simplified fraction after performing the operation is \(\frac{9}{10}\).
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.start fraction, 9, divided by, 8, end fraction, divided by, start fraction, 5, divided by, 4, end fraction89 ÷ 45
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