First, let's change both mixed fractions to improper fractions, so we can multiply it.
To do this, first multiply the denominator by the whole number, then just add this to the numerator to get your mixed fraction.
2x4=8+1=9/4
3x2=6+1=7/3
Now we can multiply
[tex] \frac{9}{4} [/tex] x [tex] \frac{7}{3} [/tex]
=[tex] \frac{63}{12} [/tex]
So 2 1/4x3 1/2 is 63/12, but that is not the lowest form. To find the lowest form, you need to divide the numerator and denominator by the greatest common factor (GCF) of 63 and 12.
63/12
--- ----
3 3
=21/4
=5 1/4
