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In a fractions denominator is 3 less than the twice the numerator. if 1/2 is subtracted from the numerator and 3/5 is added to the denominator then the new fraction becomes 45/76. Find the origined original fraction.step by step answer please |
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Answer» The fraction = 5÷7 Step-by-step EXPLANATION: Let the numerator of the fraction be x By data denominator = 2×x - 3 The fraction = (x÷(2×x-3)) 1÷2 is SUBTRACTED from the numerator fraction=((x-0.5)÷(2×x-3)) 3÷5 is added to the denominator = ((x-0.5)÷(2×x-3+(3÷5)) NEW fraaction= 45÷76 ((x-0.5)÷(2x-(12÷5)))= 45÷76 76(x-0.5)= 45(2x-(12÷5)) 76x- 38= 90x-108 14x=70 x=5 Therefore the numerator =5 Denominator= 2x-3= 7 The fraction = 5÷7 |
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