13/3-(17/4-(21/4*5/2))
Answers
Answer:
13/3-(17/4-(21/4*5/2))
Final result :
317
——— = 13.20833
24
Step by step solution :
Step 1 :
5
Simplify —
2
Equation at the end of step 1 :
13 17 21 5
——-(——-(——•—))
3 4 4 2
Step 2 :
21
Simplify ——
4
Equation at the end of step 2 :
13 17 21 5
—— - (—— - (—— • —))
3 4 4 2
Step 3 :
17
Simplify ——
4
Equation at the end of step 3 :
13 17 105
—— - (—— - ———)
3 4 8
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 8
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 3 3
Product of all
Prime Factors 4 8 8
Least Common Multiple:
8
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 = 2
Right_M = L.C.M / R_Deno = 1
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. 17 • 2
—————————————————— = ——————
L.C.M 8
R. Mult. • R. Num. 105
—————————————————— = ———
L.C.M 8
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:
17 • 2 - (105) -71
—————————————— = ———
8 8
Equation at the end of step 4 :
13 -71
—— - ———
3 8
Step 5 :
13
Simplify ——
3
Equation at the end of step 5 :
13 -71
—— - ———
3 8
Step 6 :
Calculating the Least Common Multiple :
6.1 Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 8
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 1 0 1
2 0 3 3
Product of all
Prime Factors 3 8 24
Least Common Multiple:
24
Calculating Multipliers :
6.2 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 = 8
Right_M = L.C.M / R_Deno = 3
Making Equivalent Fractions :
6.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 13 • 8
—————————————————— = ——————
L.C.M 24
R. Mult. • R. Num. -71 • 3
—————————————————— = ———————
L.C.M 24
Adding fractions that have a common denominator :
6.4 Adding up the two equivalent fractions
13 • 8 - (-71 • 3) 317
—————————————————— = ———
24 24
Final result :
317
——— = 13.20833
24
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Answer:
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Step-by-step explanation:
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