Math, asked by itsmesanyo29, 2 months ago

Simplify the following:

➵ \: 5 \frac{5}{6} - 3 \frac{8}{9} - ? = 1 \\

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Answers

Answered by nsingha2016
1

Answer:

hope its help

x = 17 answer

Step-by-step explanation:

okk

Attachments:
Answered by robinhood9
63
  • Given expression :

 \dag \: \: 5 \frac{5}{6} - 3 \frac{8}{9} - ? = 1 \\

Let ,

Assume the hidden value as 'x'

  • Firstly , Convert the mixed fraction into improper fraction :

 \longmapsto{ \rm \frac{35}{6}  - \frac{35}{9}  - x = 1} \\

  • Equalize the denominator of both the fractions , let us cross multiply :

 \longmapsto { \rm \frac{35 \times 9}{6 \times 9}  -  \frac{35 \times 6}{9 \times 6}  - x = 1} \\

  • The equation becomes :

 \longmapsto { \rm\frac{315}{54}  -  \frac{210}{54} - x = 1 } \\

  • Subtracting the fractions ( Denominators are equal now ) :

 \longmapsto {\rm \frac{105}{54}  - x = 1} \\

  • Dividing the fraction by 3 :

 \longmapsto { \rm \frac{35}{18}  - x = 1} \\

  • Shifting 35/18 to other side , it becomes :

 \longmapsto { \rm- x = 1 -  \frac{35}{18}} \\

  • Cross multiplying :

 \longmapsto { \rm - x =  \frac{1}{1}  -  \frac{35}{18} } \\  \longmapsto { \rm- x =  \frac{18 - 35}{18} } \\  \longmapsto { \rm- x =  - \frac{  17}{18} }

  • Eliminate the sign(-) from both the sides :

 \longmapsto \boxed{ \rm \blue{ x =  \frac{17}{18} }}

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