Question

Which of the following rational numbers is expressible as a terminating decimal?
a) 124/165
b) 131/30
c) 2027/625
d) 1625/462​

Answer 1

Answer:

the answer is a) 124/165

Answer 2

Answer:

c) 2027/625

Step-by-step explanation:

Rational number is expressible as a terminating decimal expansion

if in the simplest form denominator has only

factors of 2 and 5

124/165

165=3*5*11

has factor of 3 and 11 also so not expressible as a terminating decimal expansion

121/30

30=2*3*5

has the factor of 3 also does not expressible as a terminal decimal expansion

2027/625

625=5*5*5*5

has the factor of 5 only so expressible as terminal decimal expansion

1625/462

462=2*3*7*11

has the factor of 3,7,11 also does not expressible as a terminating decimal expansion

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