simplify and reduce this fraction
21m/11m+12 - 10m-12/11m+12
If your expression mean :
( 21 m / 11 m ) + 12 - 10 m - ( 12 / 11 m ) + 12
Then:
21 m / 11 m + 12 - 10 m - 12 / 11 m + 12 =
( 21 m - 12 ) / 11 m - 10 m + 24 =
( 21 m - 12 )/ 11 m - 10 m * 11 m / 11 m + 24 * 11 m / 11 m =
( 21 m - 12 - 110 m ^ 2 + 264 m ) / 11 m =
( - 110 m ^ 2 + 285 m - 12 ) / 11 m
Looks to me like it means
21m/(11m+12) - (10m-12)/(11m+12)
= (21m - (10m-12))/(11m+12)
= (21m - 10m + 12)/(11m+12)
= (11m + 12)/(11m+12)
= 1
To simplify and reduce the given fraction (21m/11m+12 - 10m-12/11m+12), we need to combine the numerators and denominators into a single fraction and then simplify it.
Step 1: Combine the numerators:
21m - 10m - 12
Step 2: Combine the denominators:
11m + 12
The combined fraction is:
(21m - 10m - 12) / (11m + 12)
Step 3: Simplify the numerator:
21m - 10m - 12 = 11m - 12
Therefore, the simplified fraction is:
(11m - 12) / (11m + 12)
To reduce the fraction, we can check if there are any common factors between the numerator and denominator that can be canceled out.
Step 4: Factorize the numerator:
11m - 12 = (11m - 12)
Step 5: Factorize the denominator:
11m + 12 = (11m + 12)
As there are no common factors between the numerator and the denominator, the fraction is already in its simplest form.
The simplified and reduced fraction is:
(11m - 12) / (11m + 12)