Answer:
1141
———— = 4.56400
250
Step-by-step explanation:
(61/10)-(1536/1000)
Final result :
1141
———— = 4.56400
250
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "1.536" was replaced by "(1536/1000)". 2 more similar replacement(s)
Step by step solution :
Step 1 :
192
Simplify ———
125
Equation at the end of step 1 :
61 192
—— - ———
10 125
Step 2 :
61
Simplify ——
10
Equation at the end of step 2 :
61 192
—— - ———
10 125
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 10
The right denominator is : 125
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 0 1
5 1 3 3
Product of all
Prime Factors 10 125 250
Least Common Multiple:
250
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 Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 25
Right_M = L.C.M / R_Deno = 2
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 equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 61 • 25
—————————————————— = ———————
L.C.M 250
R. Mult. • R. Num. 192 • 2
—————————————————— = ———————
L.C.M 250
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 together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
61 • 25 - (192 • 2) 1141
——————————————————— = ————
250 250
Final result :
1141
———— = 4.56400
250
