8b-2b(2+3b)=2(1-2b)-3(b-1)
Answers
:
question
3/3b-(1/2b)/(2/3b)+4/4b
STEP
1
:
1
Simplify —
1
Equation at the end of step
1
:
3 1 2
((—•b)-—•b)—•b))+(1•b)
3 2( 3
STEP
2
:
2
Simplify —
3
Equation at the end of step
2
:
3 1 2
((—•b)-—•b)—•b))+b
3 2( 3
STEP
3
:
1
Simplify —
2
Equation at the end of step
3
:
3 1 2b
((—•b)-—•b)——)+b
3 2 3
STEP
4
:
b 2b
Divide — by ——
2 3
4.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
b 2b b 3
— ÷ —— = — • ——
2 3 2 2b
Canceling Out :
4.2 Canceling out b as it appears on both sides of the fraction line
Equation at the end of step
4
:
3 3
((— • b) - —) + b
3 4
STEP
5
:
1
Simplify —
1
Equation at the end of step
5
:
3
((1 • b) - —) + b
4
STEP
6
:
Rewriting the whole as an Equivalent Fraction
6.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
b b • 4
b = — = —————
1 4
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 :
6.2 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:
b • 4 - (3) 4b - 3
——————————— = ——————
4 4
Equation at the end of step
6
:
(4b - 3)
———————— + b
4
STEP
7
:
Rewriting the whole as an Equivalent Fraction :
7.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
b b • 4
b = — = —————
1 4
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
(4b-3) + b • 4 8b - 3
—————————————— = ——————
4 4
Final result :
8b - 3
——————
4