8/6 + ( - 9/5 ) simpleast form
Answers
Answer:
Step-by-step explanation:
8/6 - 9/5 =
(8 - 9)/5 =
- 1/5
Rewrite the fraction
As a decimal number:
- 1/5 =
- 1 ÷ 5 =
- 0.2
As a percentage:
- 0.2 =
- 0.2 × 100/100 =
( - 0.2 × 100)/100 =
- 20/100 =
- 20%
Answer:
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:
9
Simplify —
5
Equation at the end of step
1
:
8 9
— - —
6 5
STEP
2
:
4
Simplify —
3
Equation at the end of step
2
:
4 9
— - —
3 5
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 3
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}
3 1 0 1
5 0 1 1
Product of all
Prime Factors 3 5 15
Least Common Multiple:
15
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 = 5
Right_M = L.C.M / R_Deno = 3
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. 4 • 5
—————————————————— = —————
L.C.M 15
R. Mult. • R. Num. 9 • 3
—————————————————— = —————
L.C.M 15
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:
4 • 5 - (9 • 3) -7
——————————————— = ——
15 15
Final result :
-7
—— = -0.46667
15