3/4 = 75/100 = 0.75
0.75 is a terminated decimal (does not continue forever)
0.75 is a rational number (it is a decimal)
1/3 = 33.33.../100
0.333333.... is a continuing decimal, and so it is a repeating decimal
1/3 is a repeating number
let's firstly convert the mixed fractions to improper fractions and then sum them up.
![\bf \stackrel{mixed}{2\frac{2}{8}}\implies \cfrac{2\cdot 8+2}{8}\implies \stackrel{improper}{\cfrac{18}{8}}~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{18}{8}+\cfrac{9}{4}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)18+(2)9}{8}}\implies \cfrac{18+18}{8}\implies \cfrac{36}{8}\implies \cfrac{9}{2}\implies 4\frac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%208%2B2%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B18%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B18%7D%7B8%7D%2B%5Ccfrac%7B9%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%281%2918%2B%282%299%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B18%2B18%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B36%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B2%7D%5Cimplies%204%5Cfrac%7B1%7D%7B2%7D)
Here is the answer to the given question above.
Given that the baker makes 84 loaves of bread, and out of the 84, she burns 4 of them. So in fraction it will be expressed in 4/84. So to know the final answer, we will simplify this fraction and we get 1/21. So the answer would be the third option. Hope this answer helps.
