Sum Of Unit Fractions

Since your subject is java programming class i m guessing that you have to implement this algorithm in java. A unit fraction is a fraction with a numerator of 1. To calculate a sum of fractions the important thing is that the fractions have the same denominator.

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Sum of unit fractions. A unit fraction can be expressed as the sum of two equal unit fractions. A unit fraction sum is only possible for positive values. The unit fraction sum gives the fraction as a sum of different unit fractions and a natural number if the fraction is larger than 1. For example 4 5 1 2 1 4 1 20 1 3 1 5 1 6 1 10.

A unit fraction can also be expressed as the sum of two different unit fractions. To add fractions with the same denominator you have to add the numerators and leave the same denominator. Sum of fractions with the same denominator. Other fractions can also be named as the sum of unit fractions.

Please enter numerator and denominator of a common fraction or the value of a decimal fraction and press the according button. Any positive rational number can be written as the sum of unit fractions in multiple ways. For example 3 8 1 4 1 8 1 3 1 24. In general the decomposition of a fraction into a sum of unit fractions is not unique.

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