let's firstly, convert the mixed fraction to improper fraction, and then subtract.
![\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{11}{4}-\cfrac{2}{3}\implies \stackrel{\textit{our LCD will be 12}}{\cfrac{(3)11-(4)2}{12}}\implies \cfrac{33-8}{12}\implies \cfrac{25}{12}\implies 2\frac{1}{12}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B11%7D%7B4%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Ccfrac%7B11%7D%7B4%7D-%5Ccfrac%7B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bour%20LCD%20will%20be%2012%7D%7D%7B%5Ccfrac%7B%283%2911-%284%292%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B33-8%7D%7B12%7D%5Cimplies%20%5Ccfrac%7B25%7D%7B12%7D%5Cimplies%202%5Cfrac%7B1%7D%7B12%7D)
Add the probabilities
3/8+1/3=9/24+8/24=17/24
Answer:
x=40
Step-by-step explanation:
Answer:
The (GCF) greatest common factor is 3
hope this helps ;)
Step-by-step explanation:
Answer:
n = 10
Step-by-step explanation:
Solve for n:
(3 n)/5 = 6
Multiply both sides of (3 n)/5 = 6 by 5/3:
(5×3 n)/(3×5) = 5/3×6
5/3×3/5 = (5×3)/(3×5):
(5×3)/(3×5) n = 5/3×6
5/3×6 = (5×6)/3:
(5×3 n)/(3×5) = (5×6)/3
(5×3 n)/(3×5) = (3×5)/(3×5)×n = n:
n = (5×6)/3
6/3 = (3×2)/3 = 2:
n = 5×2
5×2 = 10:
Answer: n = 10
