Respuesta :
Answer:
21w - 379
——————
21
Step-by-step explanation:
Step 1 :
52
Simplify ——
3
Equation at the end of step 1 :
5 52
(w - —) - ——
7 3
Step 2 :
5
Simplify —
7
Equation at the end of step 2 :
5 52
(w - —) - ——
7 3
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 7 as the denominator :
w w • 7
w = — = —————
1 7
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 :
3.2 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:
w • 7 - (5) 7w - 5
——————————— = ——————
7 7
Equation at the end of step 3 :
(7w - 5) 52
———————— - ——
7 3
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 7
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}
7 1 0 1
3 0 1 1
Product of all
Prime Factors 7 3 21
Least Common Multiple:
21
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 = 3
Right_M = L.C.M / R_Deno = 7
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. (7w-5) • 3
—————————————————— = ——————————
L.C.M 21
R. Mult. • R. Num. 52 • 7
—————————————————— = ——————
L.C.M 21
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
(7w-5) • 3 - (52 • 7) 21w - 379
————————————————————— = —————————
21 21
Final result :
21w - 379
—————————
21
Processing ends successfully
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