I need to know what is the result of 1/25+25x^2/36-x/3 step by step answer with procedure as is..
Answers
Answer:
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Step-by-step explanation:
Step by Step Solution:
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STEP
1
:
2
Simplify —
3
Equation at the end of step
1
:
1 4 2
(——+(25x•——))-(x•—)
25 36 3
STEP
2
:
1
Simplify —
9
Equation at the end of step
2
:
1 1 2x
(—— + (25x • —)) - ——
25 9 3
STEP
3
:
1
Simplify ——
25
Equation at the end of step
3
:
1 25x 2x
(—— + ———) - ——
25 9 3
STEP
4
:
Calculating the Least Common Multiple
4.1 Find the Least Common Multiple
The left denominator is : 25
The right denominator is : 9
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
5 2 0 2
3 0 2 2
Product of all
Prime Factors 25 9 225
Least Common Multiple:
225
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 9
Right_M = L.C.M / R_Deno = 25
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 9
—————————————————— = ———
L.C.M 225
R. Mult. • R. Num. 25x • 25
—————————————————— = ————————
L.C.M 225
Adding fractions that have a common denominator :
4.4 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:
9 + 25x • 25 625x + 9
———————————— = ————————
225 225
Equation at the end of step
4
:
(625x + 9) 2x
—————————— - ——
225 3
STEP
5
:
Calculating the Least Common Multiple
5.1 Find the Least Common Multiple
The left denominator is : 225
The right denominator is : 3
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 2 1 2
5 2 0 2
Product of all
Prime Factors 225 3 225
Least Common Multiple:
225
Calculating Multipliers :
5.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 75
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. (625x+9)
—————————————————— = ————————
L.C.M 225
R. Mult. • R. Num. 2x • 75
—————————————————— = ———————
L.C.M 225
Adding fractions that have a common denominator :
5.4 Adding up the two equivalent fractions
(625x+9) - (2x • 75) 475x + 9
———————————————————— = ————————
225 225
Final result :
475x + 9
————————
225