2/-9++3/5+1/3=3/5+-2/9+1/3 verify
Answers
Step-by-step explanation:
Here's your answer. ⬇⬇
\begin{gathered} \frac{ - 2}{9} + \frac{ - 3}{5} + \frac{1}{3} = \frac{ - 3}{5} + \frac{ - 2}{9} + \frac{1}{3} \\ \\ taking \: \: lcm \: \: of \: \: 9 \: \: 5 \: \: and \: \: 3 \: \: we \: \: get \: \: 45 \\ \\ \frac{ - 2}{9} \times \frac{5}{5} + \frac{ - 3}{5} \times \frac{9}{9} + \frac{1}{3} \times \frac{15}{15} = \frac{ - 3}{5} \times \frac{9}{9} + \frac{ - 2}{9} \times \frac{5}{5} + \frac{1}{3} \times \frac{15}{15} \\ \\ \frac{ - 10}{45} + \frac{ - 27}{45} + \frac{15}{45} = \frac{ - 27}{45} + \frac{ - 10}{45} + \frac{15}{45} \\ \\ \frac{ - 10 - 27 + 15}{45} = \frac{ - 27 - 10 + 15}{45} \\ \\ \frac{ - 22}{45} = \frac{ - 22}{45} \\ \\ \end{gathered}
9
−2
+
5
−3
+
3
1
=
5
−3
+
9
−2
+
3
1
takinglcmof95and3weget45
9
−2
×
5
5
+
5
−3
×
9
9
+
3
1
×
15
15
=
5
−3
×
9
9
+
9
−2
×
5
5
+
3
1
×
15
15
45
−10
+
45
−27
+
45
15
=
45
−27
+
45
−10
+
45
15
45
−10−27+15
=
45
−27−10+15
45
−22
=
45
−22
Solution
2 / -9 + -3 /5 +1 /3 = - 3 /5 + 2 /-9 + 1/3
( ➖ sign cannot be in denominator it always in numerator)
so
-2 / 9 - 3 /5 + 1/3 = - 3/5 + -2 /9 +1/3
( we take LCM of 9 , 5 , 3 is 45 )
- 2* 5 / 9 *5 - 3*9 / 5*9 + 1*15 / 3*15
= -3/5 +-2/9 +1/3
-10 /45 - 27 /45 +15 /45 = -3/5 -2/9 +1/3
-10 -27 +15 /45 = ( we take lcm 5,9,3 is 45)
-22 /45. = - 3 *9 / 5*9 - 2*5 /9*5 + 1*15 / 3*15
-22/45. = -27 /45 -10 /45 +15 /45
-22 /45 = -22 /45
hence LHS =RHS
hence verified
hope it helps
thank you