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): "721.1" was replaced by "(7211/10)". 4 more similar replacement(s)
Step 1 :
7211
Simplify ————
10
Equation at the end of step 1 :
7403 1183 1292 7211
((————+————)+————)+————
10 10 10 10
Step 2 :
646
Simplify ———
5
Equation at the end of step 2 :
7403 1183 646 7211
((———— + ————) + ———) + ————
10 10 5 10
Step 3 :
1183
Simplify ————
10
Equation at the end of step 3 :
7403 1183 646 7211
((———— + ————) + ———) + ————
10 10 5 10
Step 4 :
7403
Simplify ————
10
Equation at the end of step 4 :
7403 1183 646 7211
((———— + ————) + ———) + ————
10 10 5 10
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:
7403 + 1183 4293
——————————— = ————
10 5
Equation at the end of step 5 :
4293 646 7211
(———— + ———) + ————
5 5 10
Step 6 :
Adding fractions which have a common denominator :
6.1 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:
4293 + 646 4939
—————————— = ————
5 5
Equation at the end of step 6 :
4939 7211
———— + ————
5 10
Step 7 :
Calculating the Least Common Multiple :
7.1 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 :
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 = 2
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
7.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 4939 • 2 —————————————————— = ———————— L.C.M 10 R. Mult. • R. Num. 7211 —————————————————— = ———— L.C.M 10
Adding fractions that have a common denominator :
7.4 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:
4939 • 2 + 7211 17089
——————————————— = —————
10 10
Final result :
17089
————— = 1708.90000
10
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