Pregunta
Divide. Write your answer in lowest terms. Leave your answer as an improper fraction or whole number, if necessary. \( \frac{9}{8} \div \frac{9}{2} \)
Ask by Pearson Hardy. in the United States
Jan 22,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The answer is \( \frac{1}{4} \) or 0.25.
Solución
Calculate or simplify the expression \( \frac{9}{8} \div \frac{9}{2} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{9}{8}\div \frac{9}{2}\)
- step1: Multiply by the reciprocal:
\(\frac{9}{8}\times \frac{2}{9}\)
- step2: Reduce the numbers:
\(\frac{1}{4}\times 1\)
- step3: Multiply:
\(\frac{1}{4}\)
The result of dividing \( \frac{9}{8} \) by \( \frac{9}{2} \) is \( \frac{1}{4} \) or 0.25.
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Simplifique esta solución The Deep Dive
To divide fractions, you can multiply by the reciprocal of the second fraction. So, \( \frac{9}{8} \div \frac{9}{2} \) becomes \( \frac{9}{8} \times \frac{2}{9} \). Now, multiply the numerators: \( 9 \times 2 = 18 \). Then multiply the denominators: \( 8 \times 9 = 72 \). Therefore, you have \( \frac{18}{72} \). To simplify, divide both the numerator and denominator by their greatest common divisor, which is 18. This gives you \( \frac{1}{4} \) as the final answer in lowest terms!
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