Tag: using brackets in algebraic expressions

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Multiple choice maths place value, ordering and rounding order operations and algebra using brackets in algebraic expressions order of operations

$9+\cfrac { 3 }{ 4 } +7+\cfrac { 2 }{ 17 } -\left( 9+\cfrac { 1 }{ 15 }  \right) =$?

  1. $7+\cfrac { 719 }{ 1020 } $
  2. $9+\cfrac { 817 }{ 1020 } $
  3. $9+\cfrac { 719 }{ 1020 } $
  4. $7+\cfrac { 817 }{ 1020 } $

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given the sum $=9+\cfrac { 3 }{ 4 } +7+\cfrac { 2 }{ 17 } -\left( 9+\cfrac { 1 }{ 15 }  \right) $
$=(9+7-9)+\left( \cfrac { 3 }{ 4 } +\cfrac { 2 }{ 17 } -\cfrac { 1 }{ 15 }  \right) $
$=7+\cfrac { 765+120-68 }{ 1020 } $
$=7+\cfrac { 817 }{ 1020 } $