Verified Answer :

texaschic101

terminating decimal...a decimal that ends
1/6 = 1.66 (with a line over the 66 because it does not end)
2/9 = 0.22 (with a line over the 22 because it does not end)
3/8 = 0.375
4/7 = 0.571428 (with a line over 571428 because it does not end)

so ur answer is : 3/8

Answer:  The correct option is (C) \(\dfrac{3}{8}.\)

Step-by-step explanation:  We are given to select the fraction that converts to a terminating decimal number.

(a) The first fraction is \(\dfrac{1}{6}.\)

We have

\(\dfrac{1}{6}=0.16666...\)

Since this decimal is non-terminating, so this option is NOT correct.

(b) The second fraction is \(\dfrac{2}{9}.\)

We have

\(\dfrac{2}{9}=0.2222...\)

Since this fraction is non-terminating, so this option is NOT correct.

(c) The second fraction is \(\dfrac{3}{8}.\)

We have

\(\dfrac{2}{9}=0.375.\)

Since this fraction is terminating, so this option is CORRECT.

(d) The second fraction is \(\dfrac{4}{7}.\)

We have

\(\dfrac{4}{7}=0.5714...\)

Since this fraction is non-terminating, so this option is NOT correct.

Thus, option (C) is CORRECT.

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