Answer:
Fraction= 827/100
Desmial= 8.27000
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "2.8" was replaced by "(28/10)". 2 more similar replacement(s)
STEP1:
Simplify 14/5
The equation at the end of step1:
547/100-(0-14/5)
STEP2:
Simplify 547/100
The equation at the end of step2:
547/100-(-14/5
STEP3:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is: 100
The right denominator is : 5
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 0 2
5 2 1 2
Product of all
Prime Factors 100 5 100
Least Common Multiple:
100
Calculating Multipliers :
3.2 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 Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 20
Making Equivalent Fractions :
3.3 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 an equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 547
—————————————————— = ———
L.C.M 100
R. Mult. • R. Num. -14 • 20
—————————————————— = ————————
L.C.M 100
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators, but the sum or difference over the common denominator then reduces to the lowest terms if possible:
547 - (-14 • 20) 827
———————————————— = ———
100 100
Final result :
827
——— = 8.27000
100
Hope this helps!
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