The equation is .
Write the mixed numbers into improper fraction.
\The improper fraction of (
)
The improper fraction of (
)
(Change improper fraction)
Apply subtraction property of equality: Subtract form each side.
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Find the least common denominator (LCD).
\Multiples of 2: 2, 4, 6, 8,..........
\Multiples of 4: 4, 8, 12, 16, 20,..........
\The least common multiple of 2 and 4 is 4.
\Rewrite fractions using the LCD 4.
\ (Subtract:
)
To check the solution, substitute in original equation.
(Product of two different signs is negative)
(Subtract:
)
(Divide:
)
The equation is true.
The value is .