Solution - Adding, subtracting and finding the least common multiple
Other Ways to Solve:
Step by Step Solution
Step 1 :
9
Simplify ———
100
Equation at the end of step 1 :
4 2 9
(—— + ——) + ———
25 50 100
Step 2 :
1
Simplify ——
25
Equation at the end of step 2 :
4 1 9
(—— + ——) + ———
25 25 100
Step 3 :
4
Simplify ——
25
Equation at the end of step 3 :
4 1 9
(—— + ——) + ———
25 25 100
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:
4 + 1 1
————— = —
25 5
Equation at the end of step 4 :
1 9
— + ———
5 100
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 100
Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
---|---|---|---|
5 | 1 | 2 | 2 |
2 | 0 | 2 | 2 |
Product of all Prime Factors | 5 | 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 = 20
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 20 —————————————————— = ——— 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:
20 + 9 29
—————— = ———
100 100
Final result :
29
——— = 0.29000
100
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