The iodate, IO−3, and iodide, I−, ions will react in acidic medium to form iodine, I2.
Your starting equation will be
IO−3(aq]+I−(aq]+H+(aq]→I2(aq]+H2O(l]
Right from the start, you can probably tell that this is a disproportionation raction, which a redox reaction in which the same chemical species is being reduced and oxidized at the same time.
Assign oxidation numbers to all the atoms that take part in the reaction
+5I−2O−3+−1I−++1H+→0I2++1H2−2O
Some of the iodine atoms are being reduced from an oxidation state of +5 to an oxidation state of 0, while other are being oxidized from an oxidation state of -1 to an oxidation state of 0.
The two half-reactions will be
2−1I−→0I2+2e−
Each iodine atom loses one electrons, so two iodine atoms will lose 2 electrons.
2+5IO−3+10e−→0I2
Each iodine atom will gain 5 electrons, which means that two iodine atoms will gain a total of 10 electrons* to form I2.
Since you're in acidic solution, use water to balance the oxygen atoms and protons to balance the hydrogen atoms
12H++2+5IO−3+10e−→0I2+6H2O
In any redox reaction, the number of electrons lost in the oxidation half-reaction must be equal to the number of electrons gained in the reduction half-reaction.
This means that you need to multiply the oxidation half-reaction by 5 to get
10I−→5I2+10e−
The two half-reactions will now be
{10I−→5I2+10e−12H++2IO−3+10e−→I2+6H2O
Add the two half-reaction to get
10I−+12H++2IO−3+10e−→5I2+10e−+I2+6H2O
2IO−3(aq]+10I−(aq]+12H+(aq]→6I2(aq]+6H2O(l]
The balanced net ionic equation will thus be
IO−3(aq]+5I−(aq]+6H+(aq]→3I2(aq]+3H2O(l]