Question

Simplify.
6/5+6/10 divided by 8/11-8/2

Answer 1

take lcm of 5,10 and 11, 2
\[((6(2)+6)/10)/ ((8(2) - 8(11))/22) \]

Answer 2

\[\frac{ \frac{ 6 }{ 5}+\frac{ 6 }{ 10 } }{\frac{ 8 }{ 11 }-\frac{ 8 }{ 2 } }=\frac{ \frac{ 12 }{ 10}+\frac{ 6 }{ 10 } }{\frac{ 16 }{ 22 }-\frac{ 88 }{ 22 } }\]

Answer 3

\[\frac{ \frac{ 18 }{ 10 } }{\frac{ -72}{ 22 } }=\frac{ 18 }{ 10 }\times \frac{ 22 }{ -72 }\]

Answer 4

\[\frac{ 18 }{ 10 }\times \frac{ 22 }{ -72 }=\frac{ 1 }{ 10 }\times \frac{ 22 }{ -4 }=\frac{ 1 }{ 5 }\times \frac{ 11 }{ -4 }=\frac{ 11 }{ -20 }\]

Answer 5

6/5+6/10/8/11-8/2

6/5-8/2+6/10/8/11

= 8/2=4
= 6/5-4+6/10/8/11

6/10/8/11
6/10=3/5
= 3/5/8/11
= 3/5*11/8

= 5*8=40
= 3*11/40
= 3*11=33
= 33/40
= 6/5-4+33/40

33-4+6/5=1*33+1*2^3*6-2^3*4*5/40
= 33/40-4+6/5
4=4/1
= -4/1+6/5+33/40

40=2^3*5
1*2^3*5=40
= -2^3*4*5/40+1*33/40+1*2^3*6/40
= 1*33+1*2^3*6-2^3*4*5/40
= -2^3*14+33/40
= -79/40