Question 1164487
<br>
The language used in the statement of the problem is very poor, leading to different possible interpretations of the problem.<br>
"If a fraction is divided by 1 ¼ and them (sic) subtracted from 2 ½ gives the result of 1 7/10, what is the value of the fractions?"<br>
Rewrite like this:<br>
A fraction is divided by 1 ¼ and the result is subtracted from 2 ½, giving the result of 1 7/10.  What is the fraction?<br>
Dividing a number by 1 1/4 = 5/4 is equivalent to multiplying it by 4/5.  So after dividing by 1 1/4, the fraction is 4/5 of its original value.<br>
So 2 1/2, minus 4/5 of the original fraction, is equal to 1 7/10.<br>
Then 4/5 of the original fraction is 2 1/2 minus 1 7/10, or 8/10, or 4/5.<br>
It is then obvious that the original fraction was 1.<br>
ANSWER: The original fraction was 1.<br>
CHECK:
1 divided by 1 1/4 = 1 times 4/5 = 4/5.<br>
2 1/2 - 4/5 = 2 5/10 = 8/10 = 1 7/10.<br>