Why do the denominators of two fractions with numerators 1 add up to a third fraction that have the

Jackson Duncan

Jackson Duncan

Answered question

2022-06-19

Why do the denominators of two fractions with numerators 1 add up to a third fraction that have the special things below?
I found out that the denominators of two fractions with numerators 1 add up to a third fraction that has the sum in the numerator and the product in the denominator. For example, 1 5 + 1 6 = 11 30 because one, 0.2 + 0.1 6 ¯ = 0.3 6 ¯ , which convert to the main fractions, and two, the denominators with numerators 1 add up to a third fraction having a sum in the numerator and evaluates to the product in the denominator. Why does this always happen? This is mind-blown for me!

Answer & Explanation

Eli Shaffer

Eli Shaffer

Beginner2022-06-20Added 16 answers

Let m,n be non-zero integers. Then the sum of the unit fractions 1 / m and 1 / n is
1 m + 1 n = 1 m n n + 1 n m m = n m n + m m n = m + n m n

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?