Solution - Adding, subtracting and finding the least common multiple
Step by Step Solution
Step 1 :
1
Simplify ——
24
Equation at the end of step 1 :
23 17 1
(—— - ——) - ——
24 24 24
Step 2 :
17
Simplify ——
24
Equation at the end of step 2 :
23 17 1
(—— - ——) - ——
24 24 24
Step 3 :
23
Simplify ——
24
Equation at the end of step 3 :
23 17 1
(—— - ——) - ——
24 24 24
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:
23 - (17) 1
————————— = —
24 4
Equation at the end of step 4 :
1 1
— - ——
4 24
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 24
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 2 | 3 | 3 |
| 3 | 0 | 1 | 1 |
| Product of all Prime Factors | 4 | 24 | 24 |
Least Common Multiple:
24
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 = 6
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 6 —————————————————— = —— L.C.M 24 R. Mult. • R. Num. 1 —————————————————— = —— L.C.M 24
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:
6 - (1) 5
——————— = ——
24 24
Final result :
5
—— = 0.20833
24
How did we do?
Please leave us feedback.