The simplest form of the given expression
is
![(31)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/osd53pbu7hf15b0xf7qd9gy5kv02u6ea2l.png)
Solution:
Given, expression is 3 11/12 – 1 4/12
![\rightarrow 3 (11)/(12)-1 (4)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/38i5u15wuiipuqfaelf9ingrx25xpavlug.png)
We have to find the simplest form of the value derived from the given expression.
Now, first let us solve the given equation.
![3 (11)/(12)-1 (4)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5hd7ltcm4uapod81xak2df82xf64jjmue0.png)
converting mixed fractions to improper fractions.
![=(3 * 12+11)/(12)-(1 * 12+4)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ymb9znhcy8c9gih2xnt46z7r7xgqzvtc1p.png)
![(36+11)/(12)-(12+4)/(12)=(47)/(12)-(16)/(12)=(47-16)/(12)=(31)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/81u33eukvgyipvjk71ny5f4ibuf8k7hqo8.png)
As there are no common terms to cancel it is in lowest form.
Hence, the lowest form of the given expression is
![(31)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/osd53pbu7hf15b0xf7qd9gy5kv02u6ea2l.png)