What number should be subtracted from 1/4 so as to get 5/4 ?
Answers
Answer:
you can make it like this way
Step-by-step explanation:
Let the number to be subtracted from 5/4 be x … ie x/1.
The equation for the question becomes now as :
(5/4) - (x/1) = 1/1
Now make either left side unknown parameter side or right side and next side known parameters… Example :
-x/1 = 1/1 - 5/4
x/1 = 5/4 - 1/1 ————————equation 1
(Left side as unknown side)
It can also be expressed as :
5/4 - 1/1 = x / 1–———————equation 2
(Right side as unknown side)
Now take LCM of the denominators of known parameters side …..
(Left side in case of equation 2 and right side in case of equation 1)
Here LCM of 4 and 1 is 4…
= (5 * a - 1 *b ) / 4
where
a = (LCM / Denominator of 5 )
Here denominator of 5 is 4 and LCM is 4.
a = 4/4 = 1
b = (LCM / Denominator of 1 )
Here denominator of 1 is 1 and LCM is 4.
a = 4/1 = 4
Thus now the fraction becomes :
= (5 * 1 - 1 * 4) / 4
= ( 5 - 4 ) / 4
= 1 / 4
Thus 1/4 should be subtracted from 5/4 to make 1 …
i.e . 5/4 - 1/4 = 1…
Note the other way to perform two fraction addition or subtraction is :
Let question be of format
a/b + c/d
where b and d are not equal to zero…
= ( a * d + c * b ) / bd
Now reduce the fraction to smallest reducible form as far as possible…
Example :
1/2 + 3/5
= ( 1 * 5 + 2 * 3 ) / ( 2 * 5 )
= ( 5 + 6 ) / 10
= 11 / 10
Note if it is reducible to smaller form reduce it first
i.e. if 2/4 = 1/2 is the answer…
Answer:
4/4
Step-by-step explanation:
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