Answer:
STEP1:
2 Simplify — 3
Equation at the end of step1:
3 2 ((0-—)+2g)-(4+(—•g)) 5 3
STEP2:Rewriting the whole as an Equivalent Fraction
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 3 as the denominator :
4 4 • 3 4 = — = ————— 1 3
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:
4 • 3 + 2g 2g + 12 —————————— = ——————— 3 3
Equation at the end of step2:
3 (2g + 12) ((0 - —) + 2g) - ————————— 5 3
STEP3:
3 Simplify — 5
Equation at the end of step3:
3 (2g + 12) ((0 - —) + 2g) - ————————— 5 3
STEP4:
Rewriting the whole as an Equivalent Fraction :
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2g 2g • 5 2g = —— = —————— 1 5
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
-3 + 2g • 5 10g - 3 ——————————— = ——————— 5 5
Equation at the end of step4:
(10g - 3) (2g + 12) ————————— - ————————— 5 3
STEP5:
STEP6:
Pulling out like terms :
6.1 Pull out like factors :
2g + 12 = 2 • (g + 6)
Calculating the Least Common Multiple :
6.2 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 3
