[tex] \dfrac{n+1}{14} \times \dfrac{n+2}{n+1} [/tex]
Cancel the (n+1) on the numerator and the (n+1) on the denominator
[tex]= \dfrac{n+2}{14} [/tex]
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[tex] \dfrac{x-10}{4x} \div \dfrac{90-9x}{9x-90} [/tex]
Change the divide fraction to a multiplication fraction
[tex] \dfrac{x-10}{4x} \times \dfrac{9x-90}{90-9x} [/tex]
Take out common factors
[tex] \dfrac{-(10-x)}{4x} \times \dfrac{9(x-10)}{9(10-x)} [/tex]
The (10-x) from the numerator is cancel with (10-x) in the denominator
The 9 is also canceled
[tex] \dfrac{-1}{4x} \times \dfrac{(x-10)}1} [/tex]
Combine the fractions
[tex]- \dfrac{x-10}{4x} [/tex]
Simplify
[tex]\dfrac{10-x}{4x} [/tex]
