Rounding 12.5 to the nearest whole number gives 13, which is the best estimate for the quotient.
To find the best estimate for the quotient of
divided by
, you can convert the mixed number to an improper fraction and then perform the division.
![\[6 (1)/(4) / (1)/(2)\]](https://img.qammunity.org/2022/formulas/mathematics/high-school/s54z3v3msacsatsik03hxt22st59qbdmzc.png)
First, convert
to an improper fraction:
![\[6 (1)/(4) = ((6 * 4) + 1)/(4) = (24 + 1)/(4) = (25)/(4)\]](https://img.qammunity.org/2022/formulas/mathematics/high-school/9vzx3tzhvuho8o3zu61hz9cb5tk8hpv2ia.png)
Now, perform the division:
![\[(25)/(4) / (1)/(2) = (25)/(4) * (2)/(1) = (50)/(4) = 12.5\]](https://img.qammunity.org/2022/formulas/mathematics/high-school/vzr6r6rg6h9rrvgrw1h3x29xxemsbkxlaw.png)
Rounded to the nearest whole number, the best estimate for the quotient is 13.