Question

Which fraction belongs in the box to make the expression true? 1/4 < ___< 7/8. A. 1/5. B. 8/9. C. 2/10. D. 10/20

Answer 1

The answer is D.

In the expression, the fraction must be larger than 1/4, yet smaller than 7/8.

It can't be A because 1/5 is smaller than 1/4. See below.

1/5 = 4/20

1/4 = 5/20

It also can't be B because 8/9 is larger than 7/8. See below.

8/9 = 64/72

7/8 = 63/72

Lastly, the answer cannot be C because 2/10 is smaller than 1/4.

1/4 = 5/20

2/10 = 4/20

Answer D works because:

10/20 = 2/4 > 1/4

10/20 = 80/160 < 140/160

Answer 2

Here, you need to find a number which is greater than 1/4 and smaller than 7/8.

Now, here we can see 1/5 and 2/10 are equivalent which is smaller than 1/4 [ same numerator and bigger denominator ]

Now, 8/9 is too big among the number, so it is rejected.

The answer would be 10/20 which is equal to 0.5 and lies between them

1/4 < 10/20 < 7/8

In short, Your Answer would be Option D

Hope this helps!