a
Simplify —
a
Equation at the end of step 1 : 20
(6+(——-4))-((5•1)-4) = 0
a
Step 2 : 20
Simplify ——
a
Equation at the end of step 2 : 20
(6 + (—— - 4)) - 1 = 0
a
Step 3 :Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using a as the denominator :
4 4 • a
4 = — = —————
1 a
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 :
3.2 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:
20 - (4 • a) 20 - 4a
———————————— = ———————
a a
Equation at the end of step 3 : (20 - 4a)
(6 + —————————) - 1 = 0
a
Step 4 :Rewriting the whole as an Equivalent Fraction :
4.1 Adding a fraction to a whole
Rewrite the whole as a fraction using a as the denominator :
6 6 • a
6 = — = —————
1 a
Step 5 :Pulling out like terms :
5.1 Pull out like factors :
20 - 4a = -4 • (a - 5)
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
6 • a + -4 • (a-5) 2a + 20
—————————————————— = ———————
a a
Equation at the end of step 5 : (2a + 20)
————————— - 1 = 0
a
Step 6 :Rewriting the whole as an Equivalent Fraction :
6.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using a as the denominator :
1 1 • a
1 = — = —————
1 a
