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): "0.14" was replaced by "(14/100)". 3 more similar replacement(s)
Step 1 :
7
Simplify ——
50
Equation at the end of step 1 :
36 4 7
(——— - ———) - ——
100 100 50
Step 2 :
1
Simplify ——
25
Equation at the end of step 2 :
36 1 7
(——— - ——) - ——
100 25 50
Step 3 :
9
Simplify ——
25
Equation at the end of step 3 :
9 1 7
(—— - ——) - ——
25 25 50
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:
9 - (1) 8
——————— = ——
25 25
Equation at the end of step 4 :
8 7
—— - ——
25 50
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 25
The right denominator is : 50
Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
---|---|---|---|
5 | 2 | 2 | 2 |
2 | 0 | 1 | 1 |
Product of all Prime Factors | 25 | 50 | 50 |
Least Common Multiple:
50
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
L. Mult. • L. Num. 8 • 2 —————————————————— = ————— L.C.M 50 R. Mult. • R. Num. 7 —————————————————— = —— L.C.M 50
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:
8 • 2 - (7) 9
——————————— = ——
50 50
Final result :
9
—— = 0.18000
50
How did we do?
Please leave us feedback.