Ayana bought a cibtsiber of peanuts. She gave 1/5 of the peanuts tie vibe sister and 3/4 of what remained to another sister. She kept the rest tie herself. What fraction of the peanuts in the original container did she keep fir herself

If Ayana gave 1/5 of the peanuts to her sister and then 3/4 of what remained to another sister, she kept 1/5 for herself. It's because:

5/5 is what she got at the beginning

5/5 - 1/5 = 4/5 is what she gave to one sister

3/4 of what remained is 3/4 * 4/5 = 12/20 = 3/5 for another sister

So now 4/5 - 3/5 = 1/5 is what she kept for herself.