Fractions are sections of a whole component.lets say 1 is the whole component,this makes numbers like 1/2,1/3,1/4 are fractions of the whole component 1.
We have to find half of the fraction 3/5 added to 5/7.
![(3)/(5) +(5)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/4ijfn04dg698ox1ex9pocwxtqbgu97a9nl.png)
find the least common multiple that applies to both denominators
the LCM of both 5 and 7 is 35
divide the LCM by each denominator and multiply it with its numerator.
add the answers you get after multiplication inserting the LCM as the denominator
21+25=46
=
![(46)/(35)](https://img.qammunity.org/2023/formulas/mathematics/college/7w90a8jn5its8tvlbhhlp9liwn03e6q6t7.png)
Now we find halfway between this angle.
÷2
we multiply
×
=
![(23)/(35)](https://img.qammunity.org/2023/formulas/mathematics/high-school/g0tlhzag0bwbjmelk3aabd365xt8345uy8.png)
=
![(23)/(35)](https://img.qammunity.org/2023/formulas/mathematics/high-school/g0tlhzag0bwbjmelk3aabd365xt8345uy8.png)