simplify a=_7/9+3/4
Answers
Answer:
Step-by-step explanation:
7/9-3/4
Final result :
1
—— = 0.02778
36
Step 1 :
3
Simplify —
4
Equation at the end of step 1 :
7 3
— - —
9 4
Step 2 :
7
Simplify —
9
Equation at the end of step 2 :
7 3
— - —
9 4
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 9
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 2 0 2
2 0 2 2
Product of all
Prime Factors 9 4 36
Least Common Multiple:
36
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 = 4
Right_M = L.C.M / R_Deno = 9
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. 7 • 4
—————————————————— = —————
L.C.M 36
R. Mult. • R. Num. 3 • 9
—————————————————— = —————
L.C.M 36
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:
7 • 4 - (3 • 9) 1
——————————————— = ——
36 36
Final result :
1
—— = 0.02778
36