The reciprocal of 6/2 is 3/1.

검증된 단계별 안내

Recall that the reciprocal of a fraction \(\frac{a}{b}\) is obtained by swapping the numerator and denominator, resulting in \(\frac{b}{a}\).

Start with the given fraction \(\frac{6}{2}\).

Find the reciprocal by swapping the numerator and denominator: the reciprocal of \(\frac{6}{2}\) is \(\frac{2}{6}\).

Simplify the reciprocal fraction \(\frac{2}{6}\) by dividing numerator and denominator by their greatest common divisor, which is 2.

After simplification, the reciprocal becomes \(\frac{1}{3}\), which is not equal to \(\frac{3}{1}\), so the statement is incorrect.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Reciprocal of a Number

The reciprocal of a number is obtained by swapping its numerator and denominator if it is a fraction. For example, the reciprocal of a/b is b/a. Multiplying a number by its reciprocal always results in 1.

Simplifying Fractions

Simplifying fractions involves reducing them to their lowest terms by dividing the numerator and denominator by their greatest common divisor. This makes it easier to compare or work with fractions.

Order of Operations and Fraction Interpretation

Understanding how to interpret expressions like 6/2 is crucial; it means 6 divided by 2, which equals 3. Recognizing this helps avoid errors when finding reciprocals or simplifying expressions.