Video: Finding the Reciprocal of a Given Fraction

What is the reciprocal of 11/27?

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Video Transcript

What is the reciprocal of eleven twenty-sevenths?

To form a reciprocal of any fraction, we need to switch the numerator and the denominator. For example, the reciprocal of 𝑎 over 𝑏 is 𝑏 over 𝑎. Therefore, the reciprocal of eleven twenty-sevenths is twenty-seven elevenths. The denominator 27 has become the numerator. And the numerator 11 has become the denominator.

This method can be used to find the reciprocal of any fraction. We could turn this improper or top-heavy fraction into a mixed number. Twenty-seven elevenths is the same as two and five elevenths. Therefore, the reciprocal of eleven twenty-sevenths could also be written as two and five elevenths.

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