How do I solve this fraction addition problem? 4 2 9 + − 9 1...

pouzdrotf

pouzdrotf

Answered

2022-07-01

How do I solve this fraction addition problem?
4 2 9 + 9 1 2 yeilds result of 5 13 18 but WolframAlpha says the answer is 5 5 18

Answer & Explanation

Kiana Cantu

Kiana Cantu

Expert

2022-07-02Added 22 answers

In 9 1 2 the negative sign applies to the whole quantity. Thus the calculation should be
4 2 9 + ( 9 1 2 ) = 38 9 + ( 19 2 ) = 76 18 171 18 = 95 18 = 5 5 18
Ryan Robertson

Ryan Robertson

Expert

2022-07-03Added 3 answers

In mixed fractions (just as in decimal ones), the sign applies to both whole and fractional parts, so
4 2 9 + 9 1 2 = 4 2 9 ( 9 + 1 2 ) = ( 4 9 ) + ( 2 9 1 2 )
Since
4 9 = 5
and
2 9 1 2 = 2 × 2 9 × 2 1 × 9 2 × 9 = 4 9 18 = 5 18
the final answer is
5 + 5 18 = ( 5 + 5 18 ) = 5 5 18 .

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