Question

4/3 x 1/2 = 4/3 ÷ Can you please help me with this? I’d appreciate it.

Answer 1

`\mathsf{(4)/(3) \:*(1)/(2)\: =\: (4)/(3) \:/(2)/(1)}`

Explanation:

The mathematical operation of division is the opposite of multiplication. When you divide two fractions, you will have to take the reciprocal of the divisor, and multiply it with the dividend.

In the given equation,
`\mathsf{(4)/(3) \:*(1)/(2)\: =\: (4)/(3) \:/\:?}`, we can rewrite this as:
`\mathsf{(4)/(3) \:/\:?\:=\:(4)/(3) \:*(1)/(2)}`.

As previously mentioned, division is opposite of multiplication. Since the multiplicand in the multiplication of two fractions is ½, then we can assume that the divisor (or the missing fraction) must be the reciprocal of ½, which is
`\mathsf{(2)/(1)\:or\:2}`.

Therefore, the missing fraction that completes the given mathematical statement is
`\mathsf{(2)/(1)\:or\:2}`.

`\mathsf{(4)/(3) \:*(1)/(2)\: =\: (4)/(3) \:/(2)/(1)}`