A decimal number
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-9x^2 - 15x
Supose A = 9x and B = 9y are the two numbers, where x and y are coprime and x < y. A*B = LCM*HCF So that 9x*9y = 126*9 so x*y = 14 so (x,y) = (1,14) or (2,7). Also, B - A = 45 or 9y - 9x = 45 so that y - x = 5 So (x,y) = (2,7) and the two numbers are 18 and 63.
You don't need to factor that; you can add them together, since they have the same variable.However, assuming you might mean 81x squared + 9x, you can take out the common factor, which is 9x.
Let the numerator be x, so the denominator is x + 4. So we have:x/(x + 4) = 9/15 (cross multiply)15x = 9(x + 4)15x = 9x + 3615x - 9x = 9x - 9x + 366x = 366x/6 = 36/6x = 6x + 4 = 6 + 4 = 10Sine the numerator is 6 and the denominator is 10, then the fraction is 6/10, which in the simplest form is equal to 3/5.Since 9/15 in the simplest form is also equal to 3/5, then 6/10 is equivalent to 9/15.Thus, 6/10 is the required fraction.
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