14.3 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. 2 • (37•19•137•24•191) —————————————————— = ——————————————————————— Common denominator 15 • (37•19•137•24•191) R. Mult. • R. Num. (53•172•53x) • 15 —————————————————— = ——————————————————————— Common denominator 15 • (37•19•137•24•191) Adding fractions that have a common denominator :
14.4 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:
Equation at the end of step14: 0 + 2 ——————————————————— = 0 3 • (37•19•137•191) STEP15:When a fraction equals zero 15.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Answers & Comments
Answer:
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 = 37 • 19 • 137 • 24 • 191
Right_M = L.C.M / R_Deno = 15
Making Equivalent Fractions :
14.3 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. 2 • (37•19•137•24•191) —————————————————— = ——————————————————————— Common denominator 15 • (37•19•137•24•191) R. Mult. • R. Num. (53•172•53x) • 15 —————————————————— = ——————————————————————— Common denominator 15 • (37•19•137•24•191) Adding fractions that have a common denominator :
14.4 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:
Multiplying exponents:
21 multiplied by 24 = 2(1 + 4) = 25
Multiplying exponents:
53 multiplied by 51 = 5(3 + 1) = 54 2 • (37•19•137•24•191) - ((53•172•53x) • 15) -54•172•53•3x + 25•37•19•137•191 ———————————————————————————————————————————— = ———————————————————————————————— 15 • (37•19•137•24•191) 3 • (37•19•137•191)
Equation at the end of step14: 0 + 2 ——————————————————— = 0 3 • (37•19•137•191) STEP15:When a fraction equals zero 15.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
0+2 ————————————————— • 3•(37•19•137•191) = 0 • 3•(37•19•137•191) 3•(37•19•137•191)
Now, on the left hand side, the 3 • 37 • 19 • 137 • 191 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
0+2 = 0
Solving a Single Variable Equation:
15.2 Solve : 0+2 = 0
Subtract 2 from both sides of the equation :
-2 = -2
Multiply both sides of the equation by (-1) : 2 = 2
Divide both sides of the equation by 2:
1 = 1
1x = √ 1
The equation has one real solution
This solution is 1x =
One solution was found :
1x =