Question

Show your work please it’s due Tuesday please

Answer 1

Explanation:

`2 (1)/(10) + (1 (2)/(7) + 4 (9)/(10) )`

`2 (1)/(10) = (21)/(10)`

`1 (2)/(7) = (9)/(7)`

`4 (9)/(10) = (49)/(10)`

`(21)/(10) + ( (9)/(7) + (49)/(10) )`

`( (9)/(7) + (49)/(10) ) = (90 + 343)/(70) = (433)/(70)`

`(21)/(10) + (433)/(70) = (147 + 433)/(70) = (580)/(70) = 8 (2)/(7)`

Answer 2

let's convert all mixed fractions to improper fractions, then add them up.

`\stackrel{mixed}{2(1)/(10)}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}}~\hfill \stackrel{mixed}{1(2)/(7)} \implies \cfrac{1\cdot 7+2}{7} \implies \stackrel{improper}{\cfrac{9}{7}} \\\\\\ \stackrel{mixed}{4(9)/(10)}\implies \cfrac{4\cdot 10+9}{10}\implies \stackrel{improper}{\cfrac{49}{10}} \\\\[-0.35em] ~\dotfill`

`\cfrac{21}{10}+\left(\cfrac{9}{7}+\cfrac{49}{10} \right)\implies \cfrac{21}{10}+\left(\cfrac{(10)9~~ + ~~(7)49}{\underset{\textit{using this LCD}}{70}} \right)\implies \cfrac{21}{10}+\left(\cfrac{90+343}{70} \right) \\\\\\ \cfrac{21}{10}+\left(\cfrac{433}{70} \right)\implies \cfrac{21}{10}+\cfrac{433}{70}\implies \cfrac{(7)21~~ + ~~(1)433}{\underset{\textit{using this LCD}}{70}}\implies \cfrac{147+433}{70} \\\\\\ \cfrac{580}{70}\implies \cfrac{58}{7}\implies 8(2)/(7)`