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): "0.6105" was replaced by "(6105/10000)". 3 more similar replacement(s)
Step 1 :
1221
Simplify ————
2000
Equation at the end of step 1 :
6 25624 1221
(—— + —————) + ————
10 1000 2000
Step 2 :
3203
Simplify ————
125
Equation at the end of step 2 :
6 3203 1221
(—— + ————) + ————
10 125 2000
Step 3 :
3
Simplify —
5
Equation at the end of step 3 :
3 3203 1221
(— + ————) + ————
5 125 2000
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 125
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 5 | 1 | 3 | 3 |
| Product of all Prime Factors | 5 | 125 | 125 |
Least Common Multiple:
125
Calculating Multipliers :
4.2 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 = 25
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
4.3 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. 3 • 25 —————————————————— = —————— L.C.M 125 R. Mult. • R. Num. 3203 —————————————————— = ———— L.C.M 125
Adding fractions that have a common denominator :
4.4 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:
3 • 25 + 3203 3278
————————————— = ————
125 125
Equation at the end of step 4 :
3278 1221
———— + ————
125 2000
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 125
The right denominator is : 2000
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 5 | 3 | 3 | 3 |
| 2 | 0 | 4 | 4 |
| Product of all Prime Factors | 125 | 2000 | 2000 |
Least Common Multiple:
2000
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 = 16
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 3278 • 16 —————————————————— = ————————— L.C.M 2000 R. Mult. • R. Num. 1221 —————————————————— = ———— L.C.M 2000
Adding fractions that have a common denominator :
5.4 Adding up the two equivalent fractions
3278 • 16 + 1221 53669
———————————————— = —————
2000 2000
Final result :
53669
————— = 26.83450
2000
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