Question:-
1) By taking x=3/5 and y=4/9, find out whether
is true or false.
2).ADD THESE RATIONAL NUMBERS:-
1)(-2)/5 and 3/4
2)5/8 and (-11)/12
3)7/(-18)+5/(-12)+(-9)/(-16)
Please solve fast in detail please!!!
Answers
Answer:
House Number -109,
Telco Colony,
Sakchi,
Jamshedpur - 687002.
13/11/2020.
The Principal,
Sacred Heart School,
Near TV Tower,
Bistupur,
Jamshedpur -687003.
GIVEN:-
- By taking x=3/5 and y=4/9, find out whether
- is true or false.
TO FIND:-
- is true or false.
SOLUTION:-
GIVEN:-
- Add these rational numbers.
TO FIND:-
- Sum of (-2)/5 and 3/4.
SOLUTION:-
The L.C.M. of 5 and 4 is 20.We express the given numbers with common denominator 20.
- (-2)/5=(-2)×4/5×4=(-8)/20
- 3/4=3×5/4×5=15/20.
:. (-2)/5+3/4=(-8)/20+15/20
- =>7/20
NOTE THAT: we have obtained the above working (-2)/5+3/4 as (-8)+15/20.
The last step is actually (-2)×4+5×3/5×4.
In general, if a/b and c/d are two rational numbers then
===================================
《a/c+c/d=a×d+b×c/b×d=ad+bc/nd.》
================================
TO FIND:-
- The sum of 5/8 and (-11)/12
SOLUTION:-
hey mate!You could sorten you work as under!
5/8+(-11)/12=5×3+(-11)×2/24=15-22/24
- =>(-7)/24.
see below↘⬇↙
1)Divide L.C.M. 24 by denominator 8.The quotient is 3.Multiply 5 by 3.
2)Divide L.C.M.24 by denominator 12.The quotient is 2.Multiply (-11) by 2.
Clarification:-
TO FIND:-
- The sum of 7/(-18)+5/(-12)+(-9)/(-16)
SOLUTION:-
First write the given rational numbers with positive d enominators.
=>7/(-18)= 7×(-1)/(-18)×(-1)=(-7)/18
=>5/(-12)=5×(-1)/(-12)×(-1)=(-5)/12
=>(-9)/(-16)=(-9)×(-1)/(-16)×(-1)=>9/6
Now,L.C.M.of 18,12&16 is 114.
So,
(-7)/18+(-5)/12+9/16=(-7)×8+(-5×12)+(9×9)/144
- =>(-56)-60+81
- (-35)/144
Hope it helped!