let's firstly convert the mixed fractions to improper fractions and then multiply.
![\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{13}{4}\times -\cfrac{3}{2}\implies \cfrac{-13\cdot -3}{4\cdot 2}\implies \cfrac{39}{8}\implies 4\frac{7}{8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B3%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20-%5Ccfrac%7B13%7D%7B4%7D%5Ctimes%20-%5Ccfrac%7B3%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B-13%5Ccdot%20-3%7D%7B4%5Ccdot%202%7D%5Cimplies%20%5Ccfrac%7B39%7D%7B8%7D%5Cimplies%204%5Cfrac%7B7%7D%7B8%7D)
Answer:
irrational
Step-by-step explanation:
pi is irrational, so even thought sqrt(4) is rational, this product is irrational.
Answer:
identity property of multiplication
Step-by-step explanation:
Identity property of multiplication means the identity stays the same. in other words to multiply by 1.