(6/55*-22/9) -(26/125*-10/49)
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Answer:
Step by Step Solution:
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "*-10" was replaced by "*(-10)". 1 more similar replacement(s)
STEP
1
:
-10
Simplify ———
39
Equation at the end of step
1
:
6 -22 26 -10
(——•———)-(———•———)
55 9 125 39
STEP
2
:
26
Simplify ———
125
Equation at the end of step
2
:
6 -22 26 -10
(—— • ———) - (——— • ———)
55 9 125 39
STEP
3
:
-22
Simplify ———
9
Equation at the end of step
3
:
6 -22 -4
(—— • ———) - ——
55 9 75
STEP
4
:
6
Simplify ——
55
Equation at the end of step
4
:
6 -22 -4
(—— • ———) - ——
55 9 75
STEP
5
:
Calculating the Least Common Multiple
5.1 Find the Least Common Multiple
The left denominator is : 15
The right denominator is : 75
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 1 1
5 1 2 2
Product of all
Prime Factors 15 75 75
Least Common Multiple:
75
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 = 5
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
5.3 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. -4 • 5
—————————————————— = ——————
L.C.M 75
R. Mult. • R. Num. -4
—————————————————— = ——
L.C.M 75
Adding fractions that have a common denominator :
5.4 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:
-4 • 5 - (-4) -16
————————————— = ———
75 75
Final result :
-16
——— = -0.21333
75
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Step-by-step explanation:
Answer:
2/15 this is right answer