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): "959.6" was replaced by "(9596/10)". 4 more similar replacement(s)
Step 1 :
4798
Simplify ————
5
Equation at the end of step 1 :
717 9201 2967 4798
((———+————)+————)+————
10 10 10 5
Step 2 :
2967
Simplify ————
10
Equation at the end of step 2 :
717 9201 2967 4798
((——— + ————) + ————) + ————
10 10 10 5
Step 3 :
9201
Simplify ————
10
Equation at the end of step 3 :
717 9201 2967 4798
((——— + ————) + ————) + ————
10 10 10 5
Step 4 :
717
Simplify ———
10
Equation at the end of step 4 :
717 9201 2967 4798
((——— + ————) + ————) + ————
10 10 10 5
Step 5 :
Adding fractions which have a common denominator :
5.1 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:
717 + 9201 4959
—————————— = ————
10 5
Equation at the end of step 5 :
4959 2967 4798
(———— + ————) + ————
5 10 5
Step 6 :
Calculating the Least Common Multiple :
6.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 10
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 5 | 1 | 1 | 1 |
| 2 | 0 | 1 | 1 |
| Product of all Prime Factors | 5 | 10 | 10 |
Least Common Multiple:
10
Calculating Multipliers :
6.2 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 = 2
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
6.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 4959 • 2 —————————————————— = ———————— L.C.M 10 R. Mult. • R. Num. 2967 —————————————————— = ———— L.C.M 10
Adding fractions that have a common denominator :
6.4 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:
4959 • 2 + 2967 2577
——————————————— = ————
10 2
Equation at the end of step 6 :
2577 4798
———— + ————
2 5
Step 7 :
Calculating the Least Common Multiple :
7.1 Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 5
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 1 | 0 | 1 |
| 5 | 0 | 1 | 1 |
| Product of all Prime Factors | 2 | 5 | 10 |
Least Common Multiple:
10
Calculating Multipliers :
7.2 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 :
7.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 2577 • 5 —————————————————— = ———————— L.C.M 10 R. Mult. • R. Num. 4798 • 2 —————————————————— = ———————— L.C.M 10
Adding fractions that have a common denominator :
7.4 Adding up the two equivalent fractions
2577 • 5 + 4798 • 2 22481
——————————————————— = —————
10 10
Final result :
22481
————— = 2248.10000
10
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