Answer:
-0.58333333333
Step-by-step explanation:
Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 6
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 1 2
3 0 1 1
Product of all
Prime Factors 4 6 12
Least Common Multiple:
12
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 Denominator 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 = 2
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 • 3
—————————————————— = —————
L.C.M 12
R. Mult. • R. Num. 17 • 2
—————————————————— = ——————
L.C.M 12
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 • 3 - (17 • 2) -7
—————— = ——
12 12
= -0.58333333333