Solution - Adding, subtracting and finding the least common multiple
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "0.00102" was replaced by "(00102/100000)". 3 more similar replacement(s)
Step 1 :
3
Simplify —————
25000
Equation at the end of step 1 :
46 94 3
(—————— + ——————) + —————
100000 100000 25000
Step 2 :
47
Simplify —————
50000
Equation at the end of step 2 :
46 47 3
(—————— + —————) + —————
100000 50000 25000
Step 3 :
23
Simplify —————
50000
Equation at the end of step 3 :
23 47 3
(————— + —————) + —————
50000 50000 25000
Step 4 :
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
23 + 47 7
——————— = ————
50000 5000
Equation at the end of step 4 :
7 3
———— + —————
5000 25000
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 5000
The right denominator is : 25000
Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
---|---|---|---|
2 | 3 | 3 | 3 |
5 | 4 | 5 | 5 |
Product of all Prime Factors | 5000 | 25000 | 25000 |
Least Common Multiple:
25000
Calculating Multipliers :
5.2 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 = 1
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 7 • 5 —————————————————— = ————— L.C.M 25000 R. Mult. • R. Num. 3 —————————————————— = ————— L.C.M 25000
Adding fractions that have a common denominator :
5.4 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:
7 • 5 + 3 19
————————— = —————
25000 12500
Final result :
19
————— = 0.00152
12500
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