Math  /  Algebra

QuestionThe denomainator of a braction is one more than Herice the numerator. If the sum of the fraction and is reciprocal is 216212 \frac{16}{21}. Find the froction.

Studdy Solution
Verify the solution by checking if the sum of the fraction 3/47/4=37 \frac{3/4}{7/4} = \frac{3}{7} and its reciprocal 73 \frac{7}{3} equals 5821 \frac{58}{21} :
37+73=33+7773=9+4921=5821 \frac{3}{7} + \frac{7}{3} = \frac{3 \cdot 3 + 7 \cdot 7}{7 \cdot 3} = \frac{9 + 49}{21} = \frac{58}{21}
The solution is verified.
The fraction is:
34 \frac{3}{4}

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