Question
Fractions Converting a decimal to a proper fraction in simplest form: Advanced Español Write 0.97 as a fraction in simplest form. \( \square \) \( \square \) Explanation Check © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibility
Ask by Wyatt Riley. in the United States
Feb 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
0.97 as a fraction in simplest form is 97/100.
Solution
To convert 0.97 to a fraction:
1. Write 0.97 as 97/100.
2. Check for common factors: 97 is a prime number and does not share any factors with 100 (which factors as 2² × 5²).
3. Since the fraction cannot be reduced further, 97/100 is in simplest form.
So, the answer is 97/100.
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Extra Insights
Para convertir 0.97 a una fracción, primero reconocemos que 0.97 significa 97 centésimos, que se escribe como \( \frac{97}{100} \). Ya que 97 es un número primo y no tiene divisores comunes con 100, la fracción está en su forma más simple. Ahora que tenemos \( \frac{97}{100} \), podemos verificar su simplificación. El máximo común divisor (MCD) de 97 y 100 es 1, lo que significa que ya hemos llegado a la forma más sencilla de esta fracción. ¡Así que ahí lo tienes: \( \frac{97}{100} \)!