An 8-fold dilution means you are making your solution 1/8 less concentrated. So, if you want to make 100 ml of a solution diluted 8 fold you would do as follows:
1/8=.125 100*.125= 12.5
Mix 12.5 mL of your concentrated solution with 87.5 mL of your solvent (water etc..) to bring the final volume to 100 mL.
If you wanted to perform a ten fold dilution you would simply mix 10 mL of your concentrated solution with 90 mL of your solvent.
1/10=.1 100*.1=10
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