SOLUTION: If a fraction is divided by 1 ¼ and them
subtracted from 2 ½ gives the result
of 1 7/10, what is the value of the
fractions?
Algebra.Com
Question 1164487: If a fraction is divided by 1 ¼ and them
subtracted from 2 ½ gives the result
of 1 7/10, what is the value of the
fractions?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
I believe you mean this:
----------------------------------------------
If a fraction is divided by 1 ¼ and them THEN
THAT IS subtracted from 2 ½ gives the result
of 1 7/10, what is the value of the
fractions?
-----------------------------------------------
R, the fraction wanted
----------Solve for R.
--------No. Not this. Mistaken Interpretation is below-------------
---------------------------------------------------------------------
R, the fraction, ratio of two numbers
"Them", would be and .
"them subtracted from ,..." would become
-------------------simplify and solve this for R.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The language used in the statement of the problem is very poor, leading to different possible interpretations of the problem.
"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?"
Rewrite like this:
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?
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.
So 2 1/2, minus 4/5 of the original fraction, is equal to 1 7/10.
Then 4/5 of the original fraction is 2 1/2 minus 1 7/10, or 8/10, or 4/5.
It is then obvious that the original fraction was 1.
ANSWER: The original fraction was 1.
CHECK:
1 divided by 1 1/4 = 1 times 4/5 = 4/5.
2 1/2 - 4/5 = 2 5/10 = 8/10 = 1 7/10.
RELATED QUESTIONS
What number gives you a result of 1 when 7 is subtracted from the quotient of the number... (answered by dfrazzetto)
If three is added to both the numerator and the denominator of fraction p/a the result is (answered by josgarithmetic)
when a number is divided by 4 and has 12 subtracted from it, the result is 1/6 of the... (answered by ptaylor)
What number gives a result of -6 when 10 is subtracted from the quotient of the number... (answered by josgarithmetic)
What number gives a result of −3 when 10 is subtracted from the quotient of the number... (answered by ikleyn)
What number gives a result of −4 when 10 is subtracted from the quotient of the number... (answered by ikleyn)
What number gives a result of -7 when 12 is subtracted from the quotient of the number... (answered by josgarithmetic)
if one is added to a fraction and then the result is inverted and subtracted from the... (answered by edjones)
What number gives a result of -2 when 11 is subtracted from the quotient of the number... (answered by Jk22)