Question

Using rearrangement property find the sum of $\frac {-13}{20}$+$\frac {11}{14}$+$\frac {-5}{7}$+$\frac {7}{10}$​

Answer 1

Answer:

$(\frac{ - 13}{20} + \frac{7}{10}) \\ \frac{ - 13 + 14}{20} \\ = \frac{1}{20}$

$\frac{11}{14} + \frac{ - 5}{7} \\ \frac{11 - 10}{14} \\ = \frac{1}{14}$

$\frac{1}{20} + \frac{1}{14} \\ lcm = 140 \\ \frac{7 + 10}{140} \\ = \frac{17}{140}$

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Answer 2

Answer:

Hence, the required answer = 17/140

Step-by-step explanation:

Rearrangement Property of Addition: The addends in an addition expression may be arranged and grouped in any order. This is a combination of the associative and commutative axioms.

Here its given,

(-13)/20+11/14+ (-5) / 7 + 7/10

After rearranging the given equation

we get,

{ (-13) / 20 + 7/10 } + { 11/ 14 + (-5) / 7 }

=> { (-13 + 14) / 20}+{(11-10) / 14]

=> 1/20+1/14

Then by taking the LCM of denominators

we get,

LCM (14 and 20) = 140

=> 7 / 140 + 10 / 140

=> (7 + 10) / 140

=> 17 / 140

Answer:-

Hence, the required answer = 17/140 .

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