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- #1

^{4}/

_{7 }+ 1

^{3}/

_{5}= 4

^{6}/

_{35}This is easy on a calculator, but I would like to understand how to do it without using calculators.

First I separate the integers from the fractions;

^{4}/

_{7}+

^{3}/

_{5}= Then find the LCM, which I get to be 35

2

^{4}/

_{7 }+ 1

^{3}/

_{5 }=

^{4}/

_{7}+

^{3}/

_{5 }=

^{21}/

_{35}2 + 1

^{20}/

_{35 }= 3

^{41}/

_{35 }

Now I know that the answer above can be further cancelled and I don't know whether this method is correct or not, but here goes;

3 x 13 + 2 / 35 =

^{ 41}/

_{35}but then 3 x 35 + 41 / 35 = 4

^{6}/

_{35 }

Does my work seen OK or am I not getting the notation correct?

Thanks