SOLUTION: the denominator of a fraction is 5 more than the numerator. if 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. find the original fr
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Question 119285: the denominator of a fraction is 5 more than the numerator. if 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. find the original fraction. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let x = original numerator
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Just write an expression for what it says:
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"the denominator of a fraction is 5 more than the numerator."
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"if 5 is added to the numerator and 2 is added to the denominator,: =
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"the value of the fraction is 8/9." =
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" find the original fraction."
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Cross multiply and solve for x:
9(x+5) = 8(x+7)
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9x + 45 = 8x + 56
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9x - 8x = 56 - 45
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x = 11
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Original fraction:
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Check solution using the statement:
"if 5 is added to the numerator and 2 is added to the denominator the value of the fraction is 8/9." = confirms out solution
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How about this? Could you follow this OK? Any questions?