Solve for X : ( X/2 ) + ( X/3 ) - ( 3X/4 ) = 3 *
1. 12
2. 24
3. 36
4.cannot be determined
Answers
Answer:
STEP
1
:
x
Simplify —
4
Equation at the end of step
1
:
x x x
(—+—)-(3•—)
2 3 4
STEP
2
:
x
Simplify —
3
Equation at the end of step
2
:
x x 3x
(— + —) - ——
2 3 4
STEP
3
:
x
Simplify —
2
Equation at the end of step
3
:
x x 3x
(— + —) - ——
2 3 4
STEP
4
:
x
Divide x by —
2
Equation at the end of step
4
:
x 3x
(2 + —) - ——
3 4
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 3 as the denominator :
2 2 • 3
2 = — = —————
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 :
5.2 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:
2 • 3 + x x + 6
————————— = —————
3 3
Equation at the end of step
5
:
(x + 6) 3x
——————— - ——
3 4
STEP
6
:
Calculating the Least Common Multiple :
6.1 Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 1 0 1
2 0 2 2
Product of all
Prime Factors 3 4 12
Least Common Multiple:
12
Step-by-step explanation: