Question

Which fraction converts to a terminating decimal number?

a.) 1/6
b.) 2/9
c.) 3/8
d.) 4/7

Answer 1

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 2

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.