Question

add the following using the rearrangement property, 2/3 + -4/5 + -2/3 + 1 + -11/15​

Answer 1

Answer :

$\quad \dashrightarrow \: \: \bf - \cfrac{8}{15} \: \: \bigstar$

Step-by-step Explanation :

${\quad \dashrightarrow \: \: \bf \cfrac{ 2 }{ 3 } + \bigg(- \cfrac{ 4 }{ 5 } \bigg) + \bigg(- \cfrac{ 2 }{ 3 } \bigg)+1 + \bigg(- \cfrac{ 11 }{ 15 } \bigg)}$

${\quad \dashrightarrow \: \: \tt 1 + \cfrac{ 2 }{ 3 } + \bigg(- \cfrac{ 2 }{ 3 } \bigg)+ \bigg(- \cfrac{ 4 }{ 5 } \bigg)+\bigg(- \cfrac{ 11 }{ 15 } \bigg)}$

$\quad \dashrightarrow\tt \: \: 1 + \frac{2}{3} - \frac{2}{3} - \frac{4}{5} - \frac{11}{15}$

$\quad \dashrightarrow\tt \: \: 1 + \bigg( - \frac{4}{5} \bigg) - \frac{11}{15}$

$\quad \dashrightarrow\tt \: \: 1 + \bigg(-\frac{12}{15} \bigg)-\frac{11}{15}$

$\quad \dashrightarrow\tt \: \: 1 + \bigg(\frac{-12-11}{15} \bigg)$

$\quad \dashrightarrow\tt \: \: 1 + \bigg(-\frac{23}{15} \bigg)$

$\quad \dashrightarrow\tt \: \: 1 - \frac{23}{15}$

$\quad \dashrightarrow\tt \: \: \frac{15 - 23}{15}$

$\quad \dashrightarrow \: \: \bf - \cfrac{8}{15} \: \: \bigstar$

Rearrangement Property :

• Rearrangement property says that, the numbers in an addition expression may be arranged and grouped in any order.

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