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): "0.09" was replaced by "(09/100)". 3 more similar replacement(s)
Step 1 :
9
Simplify ———
100
Equation at the end of step 1 :
15 15 9
(——— + ———) + ———
100 100 100
Step 2 :
3
Simplify ——
20
Equation at the end of step 2 :
15 3 9
(——— + ——) + ———
100 20 100
Step 3 :
3
Simplify ——
20
Equation at the end of step 3 :
3 3 9
(—— + ——) + ———
20 20 100
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:
3 + 3 3
————— = ——
20 10
Equation at the end of step 4 :
3 9
—— + ———
10 100
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 10
The right denominator is : 100
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 1 | 2 | 2 |
| 5 | 1 | 2 | 2 |
| Product of all Prime Factors | 10 | 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 = 10
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 3 • 10 —————————————————— = —————— L.C.M 100 R. Mult. • R. Num. 9 —————————————————— = ——— 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:
3 • 10 + 9 39
—————————— = ———
100 100
Final result :
39
——— = 0.39000
100
How did we do?
Please leave us feedback.