Maths-
General
Easy

Question

Find the simplest form of open parentheses fraction numerator negative 1 over denominator 2 end fraction plus 1 third plus 1 over 6 close parentheses divided by open parentheses fraction numerator negative 2 over denominator 5 end fraction close parentheses

Hint:

First find the LCM of numbers inside the bracket and add the numbers with
same denominator and then  divide the other number.

The correct answer is: 0


    To find open parentheses fraction numerator negative 1 over denominator 2 end fraction plus 1 third plus 1 over 6 close parentheses divided by open parentheses fraction numerator negative 2 over denominator 5 end fraction close parentheses
    Determine the LCM of the denominators of rational numbers inside the brackets.
    LCM of 2, 3 and 6 = 6
    So, fraction numerator negative 1 over denominator 2 end fraction equals fraction numerator negative 1 cross times 3 over denominator 2 cross times 3 end fraction equals fraction numerator negative 3 over denominator 6 end fraction and
    1 third equals fraction numerator 1 cross times 2 over denominator 3 cross times 2 end fraction equals 2 over 6
    On adding the terms inside the bracket, we have fraction numerator negative 3 over denominator 6 end fraction plus 2 over 6 plus 1 over 6 equals 0
    Divide fraction numerator negative 2 over denominator 5 end fraction with , we get fraction numerator 0 over denominator fraction numerator negative 2 over denominator 5 end fraction end fraction equals 0
    Hence open parentheses fraction numerator negative 1 over denominator 2 end fraction plus 1 third plus 1 over 6 close parentheses divided by open parentheses fraction numerator negative 2 over denominator 5 end fraction close parentheses equals 0

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