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): "2.9" was replaced by "(29/10)". 3 more similar replacement(s)
Step 1 :
29
Simplify ——
10
Equation at the end of step 1 :
146 4 29
(——— - ——) - ——
10 10 10
Step 2 :
2
Simplify —
5
Equation at the end of step 2 :
146 2 29
(——— - —) - ——
10 5 10
Step 3 :
73
Simplify ——
5
Equation at the end of step 3 :
73 2 29
(—— - —) - ——
5 5 10
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:
73 - (2) 71
———————— = ——
5 5
Equation at the end of step 4 :
71 29
—— - ——
5 10
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 10
Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
---|---|---|---|
5 | 1 | 1 | 1 |
2 | 0 | 1 | 1 |
Product of all Prime Factors | 5 | 10 | 10 |
Least Common Multiple:
10
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. 71 • 2 —————————————————— = —————— L.C.M 10 R. Mult. • R. Num. 29 —————————————————— = —— L.C.M 10
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:
71 • 2 - (29) 113
————————————— = ———
10 10
Final result :
113
——— = 11.30000
10
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