The simplest form of the given expression [tex]3\frac{11}{12} - 1\frac{4}{12}[/tex] is [tex]\frac{31}{12}[/tex]
Solution:
Given, expression is 3 11/12 – 1 4/12 [tex]\rightarrow 3 \frac{11}{12}-1 \frac{4}{12}[/tex]
We have to find the simplest form of the value derived from the given expression.
Now, first let us solve the given equation.
[tex]3 \frac{11}{12}-1 \frac{4}{12}[/tex]
converting mixed fractions to improper fractions.
[tex]=\frac{3 \times 12+11}{12}-\frac{1 \times 12+4}{12}[/tex]
[tex]\frac{36+11}{12}-\frac{12+4}{12}=\frac{47}{12}-\frac{16}{12}=\frac{47-16}{12}=\frac{31}{12}[/tex]
As there are no common terms to cancel it is in lowest form.
Hence, the lowest form of the given expression is [tex]\frac{31}{12}[/tex]
