Question

Solve (2 1/4) base 3. That is solve two whole number one over four times three. Please help me.

Answer 1

`\( (2 (1)/(4))_(3) \)` in base 3 is equivalent to
`\( (2.1)_(10) \)` in base 10.

Step-by-step explanation:

Converting the mixed number
`\( 2 (1)/(4) \)` to decimal representation in base 10 involves multiplying the whole number (2) by the base (3) and adding the fractional part (1/4) multiplied by the base raised to the power of -1.

For the whole number part,
`\( 2 * 3 = 6 \)`.

For the fractional part,
`\( (1)/(4) \)` in base 10 is
`\( 0.1 \)` in base 3.

So, combining the whole number and fractional parts,
`\( (2 (1)/(4))_(3) = (6 + 0.1)_(10) = 6.1_(10) \)`.

Therefore,
`\( (2 (1)/(4))_(3) \)` in base 3 is
`\( (6.1)_(10) \)` in base 10.