-13
——— = -0.20635
63
Step-by-step explanation:
Step 1 :
7
Simplify —
9
Equation at the end of step 1 :
4 7
— - —
7 9
Step 2 :
4
Simplify —
7
Equation at the end of step 2 :
4 7
— - —
7 9
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 7
The right denominator is : 9
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7101
3022
Product of all
Prime Factors 7963
Least Common Multiple:
63
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 = 9
Right_M = L.C.M / R_Deno = 7
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. 4 • 9
—————————————————— = —————
L.C.M 63
R. Mult. • R. Num. 7 • 7
—————————————————— = —————
L.C.M 63
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:
4 • 9 - (7 • 7) -13
——————————————— = ———
63 63
Final result :
-13
——— = -0.20635
63
