The equation is .
The improper fraction of .
Apply subtraction property of equality: If a = b then a b = b
c.
(Subtract
from each side)
(Apply additive inverse property:
)
To add fractions the denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,..........
\Multiples of 8: 8, 16, 24, 32, 40, 48,........
\The least common multiple of 1 and 8 is 8.
\Rewrite each fraction with a common denominator of 8.
\Rewrite fractions using the LCD 8.
\ (LCM is 8)
(Subtract:
)
Check:
\To check the solution, substitute in original equation.
(LCM is 8)
(Add: 29 + 11 = 40)
5 = 5 (Divide: )
The statement is true.
To graph the solution on the number line:
\The value of .