Answer is 3/10
Step-by-step explanation:
Step by Step Solution
STEP
1
:
8
Simplify ——
15
Equation at the end of step
1
:
5 8
— - ——
6 15
STEP
2
:
5
Simplify —
6
Equation at the end of step
2
:
5 8
— - ——
6 15
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 6
The right denominator is : 15
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2101
3111
5011
Product of all
Prime Factors 61530
Least Common Multiple:
30
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 = 5
Right_M = L.C.M / R_Deno = 2
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. 5 • 5
—————————————————— = —————
L.C.M 30
R. Mult. • R. Num. 8 • 2
—————————————————— = —————
L.C.M 30
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:
5 • 5 - (8 • 2) 3
——————————————— = ——
30 10
Final result :
3
—— = 0.30000
10
