Answer:
The correct option is C: 1 2/5 - a fraction less than 2/5
.
Step-by-step explanation:
Consider the provided information.
We want the result is always greater than 1.
A: 8/9 x a number less than 1.
8/9 = 0.88... if we multiply it with a number less than 1, the result will always less than 1.
For example:
0.88... × 0.999.. = 0.88...
Thus, the option is incorrect.
B: 7 x a number less than 1
7 multiply a number less than 1 will not ALWAYS give a result greater than 1
For example:
7 × 0.01 = 0.07
Thus, the option is incorrect.
C: 1 2/5 - a fraction less than 2/5
1 2/5 = 7/5 or 1.4
2/5 = 0.4
If we subtract 1.4 from 0.4 the result will 1. But it is given that we can subtract a fraction less than 2/5.
That means the result will always greater than 1.
For example:
1.4 - 0.399999 = 1.000001
Which is greater than 1.
Thus, the option is correct.
D: 3/7 + a number less than 1/2
3/7 = 0.4286 (Approximately)
1/2 = 0.5
If we will add them the result will always less than 1.
So the sum of 3/7 and a number less than 1/2 will always less than 1.
Thus, the option is incorrect.
Hence, the correct option is C: 1 2/5 - a fraction less than 2/5
.
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