Y = |
a |
| a |
Simplify the following expression:
Y =
\dfrac{N1}{D1}N1
SIGN
\dfrac{N2}{D2}N2
Y = |
a |
| a |
In order to add subtract expressions, they must have a common denominator.
Multiply the first expression by \dfrac{D2}{D2}.
\qquad
\dfrac{N1}{D1} \times \dfrac{D2}{D2} =
\dfrac{N_PRODUCT1}{D_PRODUCT}
Multiply the second expression by \dfrac{D1}{D1}.
\qquad
\dfrac{N2}{D2} \times \dfrac{D1}{D1} =
\dfrac{N_PRODUCT2}{D_PRODUCT}
Therefore
\qquad Y =
\dfrac{N_PRODUCT1}{D_PRODUCT} SIGN
\dfrac{N_PRODUCT2}{D_PRODUCT}
Now the expressions have the same denominator we can simply subtract the numerators:
Y =
\dfrac{N_PRODUCT1 -
(N_PRODUCT2)
N_PRODUCT2
}{D_PRODUCT}
Distribute the negative sign:
Y = \dfrac{N_PRODUCT1 + N_PRODUCT2.multiply(-1)}{D_PRODUCT}
Now the expressions have the same denominator we can simply add the numerators:
Y =
\dfrac{N_PRODUCT1 + N_PRODUCT2}{D_PRODUCT}
Y = \dfrac{N_SUM}{D_PRODUCT}
Y = \dfrac{NUMERSOL}{DENOMSOL}