Question

How do you simplify $\left( {\dfrac{2}{{15}}} \right) + \left( {\dfrac{2}{5}} \right)$ ?

Answer 1

Hint: In order to solve this question we will first take the lowest common multiple (L.C.M) of the denominators and then we will put it as denominator and will divide the denominators individually the quotient coming will be multiplied by the consecutive numerator and the product coming will be added as it is “+” sign in between fraction and do same then add it.

Complete step-by-step solution:
For solving these types of question we will first take the L.C.M of the denominators of the given two fraction:
So our fractions are:
$\left( {\dfrac{2}{{15}}} \right)$ and $\left( {\dfrac{2}{5}} \right)$ so the denominators of these two are 15 and 5,
So we will take the L.C.M of these two which will be equal to 15.
Now we will put this 15 as the whole denominator and we will divide it by 15 and then by 5 so we will get 1 and 3 respectively, after it we will multiply the 1 from the 2 of denominator 15 and put the answer coming in numerator similarly we will put the “+” sign in between as it is given in fraction, now we will multiply 3 by 2 of denominator 5 and put the answer coming.
$\dfrac{{2 + 6}}{{15}}$
Now we will further solve this and we will get the final answer.
$\left( {\dfrac{8}{{15}}} \right)$

Hence the correct answer is $\left( {\dfrac{8}{{15}}} \right)$

Note: While solving these types of questions we should keep in mind that the quotient coming of the final to the individual’s denominator must be multiplied to the same numerator of which the final denominator was divided or else the answer will be wrong.