Answer:
163
——— = 3.39583
48
Explanation:
47
Simplify ——
12
Equation at the end of step
1
:
117 47
——— - ——
16 12
STEP
2
:
117
Simplify ———
16
Equation at the end of step
2
:
117 47
——— - ——
16 12
STEP
3
:
Calculating the Least Common Multiple
3.1 Find the Least Common Multiple
The left denominator is : 16
The right denominator is : 12
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 4 2 4
3 0 1 1
Product of all
Prime Factors 16 12 48
Least Common Multiple:
48
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 = 3
Right_M = L.C.M / R_Deno = 4
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. 117 • 3
—————————————————— = ———————
L.C.M 48
R. Mult. • R. Num. 47 • 4
—————————————————— = ——————
L.C.M 48
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:
117 • 3 - (47 • 4) 163
—————————————————— = ———
48 48
Final result :
163
——— = 3.39583
48