Answer:
0.375 or 3/8
Explanation:
:
1
Simplify ——
12
Equation at the end of step
1
:
29 5 1
(—— - ——) + ——
48 16 12
STEP
2
:
5
Simplify ——
16
Equation at the end of step
2
:
29 5 1
(—— - ——) + ——
48 16 12
STEP
3
:
29
Simplify ——
48
Equation at the end of step
3
:
29 5 1
(—— - ——) + ——
48 16 12
STEP
4
:
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 48
The right denominator is : 16
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 4 4 4
3 1 0 1
Product of all
Prime Factors 48 16 48
Least Common Multiple:
48
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 = 1
Right_M = L.C.M / R_Deno = 3
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. 29
—————————————————— = ——
L.C.M 48
R. Mult. • R. Num. 5 • 3
—————————————————— = —————
L.C.M 48
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:
29 - (5 • 3) 7
———————————— = ——
48 24
Equation at the end of step
4
:
7 1
—— + ——
24 12
STEP
5
:
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 24
The right denominator is : 12
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 3 2 3
3 1 1 1
Product of all
Prime Factors 24 12 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 = 1
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 7
—————————————————— = ——
L.C.M 24
R. Mult. • R. Num. 2
—————————————————— = ——
L.C.M 24
Adding fractions that have a common denominator :
5.4 Adding up the two equivalent fractions
7 + 2 3
————— = —
24 8