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): "7.3" was replaced by "(73/10)". 4 more similar replacement(s)
Step 1 :
73
Simplify ——
10
Equation at the end of step 1 :
242 533 7883 73
((———+———)+————)+——
100 100 1000 10
Step 2 :
7883
Simplify ————
1000
Equation at the end of step 2 :
242 533 7883 73
((——— + ———) + ————) + ——
100 100 1000 10
Step 3 :
533
Simplify ———
100
Equation at the end of step 3 :
242 533 7883 73
((——— + ———) + ————) + ——
100 100 1000 10
Step 4 :
121
Simplify ———
50
Equation at the end of step 4 :
121 533 7883 73
((——— + ———) + ————) + ——
50 100 1000 10
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 50
The right denominator is : 100
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 1 | 2 | 2 |
| 5 | 2 | 2 | 2 |
| Product of all Prime Factors | 50 | 100 | 100 |
Least Common Multiple:
100
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 = 2
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
5.3 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. 121 • 2 —————————————————— = ——————— L.C.M 100 R. Mult. • R. Num. 533 —————————————————— = ——— L.C.M 100
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:
121 • 2 + 533 31
————————————— = ——
100 4
Equation at the end of step 5 :
31 7883 73
(—— + ————) + ——
4 1000 10
Step 6 :
Calculating the Least Common Multiple :
6.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 1000
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 2 | 3 | 3 |
| 5 | 0 | 3 | 3 |
| Product of all Prime Factors | 4 | 1000 | 1000 |
Least Common Multiple:
1000
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 = 250
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
6.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 31 • 250 —————————————————— = ———————— L.C.M 1000 R. Mult. • R. Num. 7883 —————————————————— = ———— L.C.M 1000
Adding fractions that have a common denominator :
6.4 Adding up the two equivalent fractions
31 • 250 + 7883 15633
——————————————— = —————
1000 1000
Equation at the end of step 6 :
15633 73
————— + ——
1000 10
Step 7 :
Calculating the Least Common Multiple :
7.1 Find the Least Common Multiple
The left denominator is : 1000
The right denominator is : 10
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 3 | 1 | 3 |
| 5 | 3 | 1 | 3 |
| Product of all Prime Factors | 1000 | 10 | 1000 |
Least Common Multiple:
1000
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 = 1
Right_M = L.C.M / R_Deno = 100
Making Equivalent Fractions :
7.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 15633 —————————————————— = ————— L.C.M 1000 R. Mult. • R. Num. 73 • 100 —————————————————— = ———————— L.C.M 1000
Adding fractions that have a common denominator :
7.4 Adding up the two equivalent fractions
15633 + 73 • 100 22933
———————————————— = —————
1000 1000
Final result :
22933
————— = 22.93300
1000
How did we do?
Please leave us feedback.