What is expand (22(10h+2j-11k))/(45) ?

The solution to expand (22(10h+2j-11k))/(45) is (44h)/9+(44j)/(45)-(242k)/(45)

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expand (22(10h+2j-11k))/(45)

expand

\frac{22 ( 10 h + 2 j - 11 k )}{45}

\frac{44 h}{9} + \frac{44 j}{45} - \frac{242 k}{45}

Solution steps

\frac{22 ( 10 h + 2 j - 11 k )}{45}

Expand

22 (10 h + 2 j - 11 k) : 220 h + 44 j - 242 k

= \frac{220 h + 44 j - 242 k}{45}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{220 h + 44 j - 242 k}{45} = \frac{220 h}{45} + \frac{44 j}{45} - \frac{242 k}{45}

= \frac{220 h}{45} + \frac{44 j}{45} - \frac{242 k}{45}

Cancel

\frac{220 h}{45} : \frac{44 h}{9}

= \frac{44 h}{9} + \frac{44 j}{45} - \frac{242 k}{45}

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What is expand (22(10h+2j-11k))/(45) ?
The solution to expand (22(10h+2j-11k))/(45) is (44h)/9+(44j)/(45)-(242k)/(45)