Yes it's correct, because
14+18=8+44∗8=1232=3∗48∗4=38∗44=38∗1=38\frac{1}{4}+\frac{1}{8}=\frac{8+4}{4*8}=\frac{12}{32}=\frac{3*4}{8*4}=\frac{3}{8}*\frac{4}{4}=\frac{3}{8}*1=\frac{3}{8}41+81=4∗88+4=3212=8∗43∗4=83∗44=83∗1=83
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