Mathematics
Grade6
Easy
Question
Find the value of
.
Hint:
Improper fraction =
Using this formula find the value of mixed fraction in improper fraction and divide it with 7.
The correct answer is: ![fraction numerator 31 over denominator 49 end fraction](data:image/png;base64,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)
Improper fraction = ![fraction numerator open parentheses text Whole number × Denominator end text close parentheses text + Numerator end text over denominator text Denominator end text end fraction](https://lh5.googleusercontent.com/uT2qxo8dAB_VSIa-rISP0G8h0QDDTt2S55Ta-JNFUJUJVcxwC9amcQzPCSvEprCXVZIyCSwZuaxvFcrvvpCPEGeq9htCIRl3P6OD0p6TTig6BWBA126QOu-lieVHxBhUGayon7SCNnwd-PPHxDsUtN0)
So, ![3 fraction numerator 7 over denominator 8 end fraction equals fraction numerator 8 cross times 3 plus 7 over denominator 8 end fraction equals fraction numerator 31 over denominator 8 end fraction](data:image/png;base64,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)
We can multiply the reciprocal of the denominator with the numerator to find the value of the problem.
![3 fraction numerator 7 over denominator 8 end fraction divided by 7 equals fraction numerator 31 over denominator 7 end fraction cross times fraction numerator 1 over denominator 7 end fraction open parentheses text reciprocal of 7 is end text fraction numerator 1 over denominator 7 end fraction close parentheses](data:image/png;base64,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)
![equals fraction numerator 31 over denominator 49 end fraction](data:image/png;base64,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)
Therefore ,
.
Therefore ,