If a : b = 3 : 11 then (15a – 3b) : (9a + 5b) is equal to ______.

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KollegeApply · Accepted Answer

If a : b = 3 : 11 then (15a – 3b) : (9a + 5b) is equal to 6 : 41. Explanation: a : b = 3 : 11 a/b = $\frac{3}{11}$ Now, (15a - 3b)/(9a + 5b) we can divide every term in the expression by b, = ((15a - 3b)/b)/((9a + 5b)/b) = (15(a/b) - 3)/(9(a/b) + 5) = (15($\frac{3}{11}$) - 3)/(9($\frac{3}{11}$) + 5) = ($\frac{45}{11}$ -3)/($\frac{27}{11}$ + 5) = `((45 - 3 xx 11)/11)/((27 + 5 xx 11)/11) = ((45 - 33)/11)/((27 + 55)/11) = ($\frac{12}{11}$)/($\frac{82}{11}$) = $\frac{12}{82}$ = $\frac{6}{41}$`

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