Can someone explain to me in simple terms how to add fractions with different denominators?

adding fractions with different denominators requires finding a common denominator

e.g.

an easy way to find a common denominator is to simplify multiply the denominators together

in this case it'd be 14

next, in order to add the fractions, we need to make both of them have denominator 14

for , we multiply it by . note that this is essentially multiplying it by 1, but we don't simplify now, we do it later

we have to multiply 5/7 by 2/2

now we can add the numerators

also, you can use a formula derived from using common denominators

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl