simplyfiy (-8/13)+(-3/26)
Answers
Answer:
-19/26
Step-by-step explanation:
-8 (×2)/13(×2) -3/26
= -16/26 -3/26
= -19/26
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Answer:
Step-by-step explanation:
Simplify ——
26
Equation at the end of step 1 :
8 3
—— - ——
13 26
Step 2 :
8
Simplify ——
13
Equation at the end of step 2 :
8 3
—— - ——
13 26
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 13
The right denominator is : 26
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
13 1 1 1
2 0 1 1
Product of all
Prime Factors 13 26 26
Least Common Multiple:
26
Calculating Multipliers :
3.2 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 = 2
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
3.3 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. 8 • 2
—————————————————— = —————
L.C.M 26
R. Mult. • R. Num. 3
—————————————————— = ——
L.C.M 26
Adding fractions that have a common denominator :
3.4 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:
8 • 2 - (3) 1
——————————— = —
26 2
Final result :
1
— = 0.50000
2