Question
according to the law of equivalent fractions, the numerator and denominator of a fraction can be multiplied of divided by the same number without changing the fraction's value.
True or False
True or False
Answers
GPT-4o
True.
According to the law of equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number without changing the value of the fraction. This principle allows you to create fractions that are equivalent to the original fraction. For example, the fractions \( \frac{1}{2} \) and \( \frac{2}{4} \) are equivalent because if you multiply the numerator and the denominator of \( \frac{1}{2} \) by 2, you get \( \frac{2}{4} \). Similarly, you can divide \( \frac{2}{4} \) by 2 to get \( \frac{1}{2} \).
According to the law of equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number without changing the value of the fraction. This principle allows you to create fractions that are equivalent to the original fraction. For example, the fractions \( \frac{1}{2} \) and \( \frac{2}{4} \) are equivalent because if you multiply the numerator and the denominator of \( \frac{1}{2} \) by 2, you get \( \frac{2}{4} \). Similarly, you can divide \( \frac{2}{4} \) by 2 to get \( \frac{1}{2} \).