Answer:
22n - 65
————————
5
Explanation:
Changes made to your input should not affect the solution:
(1): "2.4" was replaced by "(24/10)".
STEP
1
:
12
Simplify ——
5
Equation at the end of step
1
:
12
(2n - 9) - ((0 - (—— • n)) + 4)
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
4 4 • 5
4 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-12n + 4 • 5 20 - 12n
———————————— = ————————
5 5
Equation at the end of step
2
:
(20 - 12n)
(2n - 9) - ——————————
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
2n - 9 (2n - 9) • 5
2n - 9 = —————— = ————————————
1 5
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
20 - 12n = -4 • (3n - 5)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
(2n-9) • 5 - (-4 • (3n-5)) 22n - 65
—————————————————————————— = ————————
5 5
Final result :
22n - 65
————————
5
