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Which of the following fractions has the greatest value?
A. \(\frac{7}{16 \times 25}\)
B. \(\frac{5}{32 \times 5^4}\)
C. \(\frac{30}{512 \times 5^3}\)
D. \(\frac{5}{4^6 \times 5}\)
E. \(\frac{4}{2^{11}\times 5^2}\)
A. \(\frac{7}{16 \times 25}\)
B. \(\frac{5}{32 \times 5^4}\)
C. \(\frac{30}{512 \times 5^3}\)
D. \(\frac{5}{4^6 \times 5}\)
E. \(\frac{4}{2^{11}\times 5^2}\)
16 Jul 2019, 00:58
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Make the denominators the same to reveal the greatest
(A) 7/(2^4•5^2)=7/(2^4•5^2)(2^8/2^8)(5/5)= (2^8•5•7)/(2^12•5^3) Greatest
(B) 5/(2^5•5^4)(2^7/2^7)= 2^7/(2^12•5^3)
(C) 30/(2^9•5^3)=30/(2^9•5^3)(2^3/2^3) = (30•2^3)/(2^12•5^3)
(D) 5/(2^12•5)= 5/(2^12•5)(5^2/5^2)= 5^3/(2^12•5^3)
(E) 2^2/(2^11•5^2)= 2^2/(2^11•5^2)(2/2)(5/5)= 2^3•5/(2^12•5^3)
Answer A
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(A) 7/(2^4•5^2)=7/(2^4•5^2)(2^8/2^8)(5/5)= (2^8•5•7)/(2^12•5^3) Greatest
(B) 5/(2^5•5^4)(2^7/2^7)= 2^7/(2^12•5^3)
(C) 30/(2^9•5^3)=30/(2^9•5^3)(2^3/2^3) = (30•2^3)/(2^12•5^3)
(D) 5/(2^12•5)= 5/(2^12•5)(5^2/5^2)= 5^3/(2^12•5^3)
(E) 2^2/(2^11•5^2)= 2^2/(2^11•5^2)(2/2)(5/5)= 2^3•5/(2^12•5^3)
Answer A
Posted from my mobile device
