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): "0.00037" was replaced by "(00037/100000)". 3 more similar replacement(s)
Step 1 :
37
Simplify ——————
100000
Equation at the end of step 1 :
157 1 37
(—————— + ————) + ——————
100000 1000 100000
Step 2 :
1
Simplify ————
1000
Equation at the end of step 2 :
157 1 37
(—————— + ————) + ——————
100000 1000 100000
Step 3 :
157
Simplify ——————
100000
Equation at the end of step 3 :
157 1 37
(—————— + ————) + ——————
100000 1000 100000
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 100000
The right denominator is : 1000
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 5 | 3 | 5 |
| 5 | 5 | 3 | 5 |
| Product of all Prime Factors | 100000 | 1000 | 100000 |
Least Common Multiple:
100000
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 = 1
Right_M = L.C.M / R_Deno = 100
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. 157 —————————————————— = —————— L.C.M 100000 R. Mult. • R. Num. 100 —————————————————— = —————— L.C.M 100000
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:
157 + 100 257
————————— = ——————
100000 100000
Equation at the end of step 4 :
257 37
—————— + ——————
100000 100000
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:
257 + 37 147
———————— = —————
100000 50000
Final result :
147
————— = 0.00294
50000
How did we do?
Please leave us feedback.