a,
`1 3/4 . x - 5 = 3 1/3`
`->` `7/4 . x - 5 = 10/3`
`->` `7/4 . x = 25/3`
`->` `x=100/21`
b,
`2/3 . x + 1/4 = 7/12`
`->` `2/3 . x = 7/12 - 1/4`
`->` `2/3 . x = 1/3`
`->` `x=1/2`
c,
`1/4 + 1/3 : 3x = -5`
`->` `1/3 : 3x = -21/4`
`->` `3x = -4/63`
`->` `x=-4/189`
d,
`(x - 2/3 ) = 5/6`
`->` `x = 5/6 + 2/3`
`->` `x=3/2`
e,
`(3/4 - x )^3 = -8`
`->` `(3/4 - x )^3 =(-2)^3`
`->` `3/4 - x = -2`
`->` `x=3/4 -(-2)`
`->` `x=11/4`
g,
`5/2 + 5/6 + 5/12 + 5/20 + 5/30 + 5/42`
`=5.(1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42)`
`=5.(1/(1.2) + 1/(2.3) + 1/(3.4)+1/(4.5)+1/(5.6) + 1/(6.7))`
`=5.(1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7)`
`=5.(1 - 1/7)`
`=5. 6/7`
`=30/7`
