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yep you got it ! :)
8 3 - 5 1
= 4 0 1 5 − 8
= 4 0 7
3/8 - 1/5 = 15/40 - 8/40 = 7/40
\[\begin{align} &= \dfrac{(5)3}{(5)8} - \dfrac{(8)1}{(8)5} \\ \\ &= \dfrac{15 - 8}{5 \times 8} \\ \\ &= \boxed{\dfrac{7}{40}}
\end{align}\]
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we can only add and subtract proper fractions if they have equal denominators, if the denominators are unequal we need to find the LCM. in this problem the LCM is 80.
8 3 − 5 1 = 4 0 5 ( 3 ) − 8 ( 1 ) = 4 0 1 5 − 8 = 4 0 7