4.5-1\2of (7.6-3.5)+2.3×4.05
Answers
Step-by-step explanation:
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4.5-1/2*(7.6-3.5)+2.3*4.05
(45/10)-1/2*((76/10)-(35/10))+(23/10)*(405/100)
Final result :
2353
———— = 11.76500
200
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "4.05" was replaced by "(405/100)". 5 more similar replacement(s)
Step by step solution :
Step 1 :
81
Simplify ——
20
Equation at the end of step 1 :
45 1 76 35 23 81
(——-(—•(——-——)))+(——•——)
10 2 10 10 10 20
Step 2 :
23
Simplify ——
10
Equation at the end of step 2 :
45 1 76 35 23 81
(——-(—•(——-——)))+(——•——)
10 2 10 10 10 20
Step 3 :
7
Simplify —
2
Equation at the end of step 3 :
45 1 76 7 1863
(——-(—•(——-—)))+————
10 2 10 2 200
Step 4 :
38
Simplify ——
5
Equation at the end of step 4 :
45 1 38 7 1863
(——-(—•(——-—)))+————
10 2 5 2 200
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 2
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
5 1 0 1
2 0 1 1
Product of all
Prime Factors 5 2 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 = 5
Making Equivalent Fractions :
5.3 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. 38 • 2
—————————————————— = ——————
L.C.M 10
R. Mult. • R. Num. 7 • 5
—————————————————— = —————
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:
38 • 2 - (7 • 5) 41
———————————————— = ——
10 10
Equation at the end of step 5 :
45 1 41 1863
(—— - (— • ——)) + ————
10 2 10 200
Step 6 :
1
Simplify —
2
Equation at the end of step 6 :
45 1 41 1863
(—— - (— • ——)) + ————
10 2 10 200
Step 7 :
9
Simplify —
2
Equation at the end of step 7 :
9 41 1863
(— - ——) + ————
2 20 200
Step 8 :
Calculating the Least Common Multiple :
8.1 Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 20
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 2 2
5 0 1 1
Product of all
Prime Factors 2 20 20
Least Common Multiple:
20
Calculating Multipliers :
8.2 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 = 10
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
8.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 9 • 10
—————————————————— = ——————
L.C.M 20
R. Mult. • R. Num. 41
—————————————————— = ——
L.C.M 20
Adding fractions that have a common denominator :
8.4 Adding up the two equivalent fractions
9 • 10 - (41) 49
————————————— = ——
20 20
Equation at the end of step 8 :
49 1863
—— + ————
20 200
Step 9 :
Calculating the Least Common Multiple :
9.1 Find the Least Common Multiple
The left denominator is : 20
The right denominator is : 200
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
5 1 2 2
Product of all
Prime Factors 20 200 200
Least Common Multiple:
200
Calculating Multipliers :
9.2 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 = 10
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
9.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 49 • 10
—————————————————— = ———————
L.C.M 200
R. Mult. • R. Num. 1863
—————————————————— = ————
L.C.M 200
Adding fractions that have a common denominator :
9.4 Adding up the two equivalent fractions
49 • 10 + 1863 2353
—————————————— = ————
200 200
Final result :
2353
———— = 11.76500
200