[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
- [tex]\large\sf\:3 \frac { 5 } { 6 } - 1 \frac { 1 } { 3 }\\[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]3 \frac { 5 } { 6 } - 1 \frac { 1 } { 3 } \\ [/tex]
Multiply 3 and 6 to get 18.
[tex]\frac{18+5}{6}-\frac{1\times 3+1}{3} \\ [/tex]
Multiply 1 and 3 to get 3.
[tex]\frac{23}{6}-\frac{3+1}{3} \\ [/tex]
Add 3 and 1 to get 4.
[tex]\frac{23}{6}-\frac{4}{3} \\ [/tex]
The least common multiple of 6 and 3 is 6. Convert 23/6 and 4/3 to fractions with denominator 6.
[tex]\frac{23}{6}-\frac{8}{6} \\ [/tex]
Because 23/6 and 8/6 have the same denominator, subtract them by subtracting their numerators.
[tex]\frac{23-8}{6} \\ [/tex]
Subtract 8 from 23 to get 15.
[tex]\frac{15}{6} \\ [/tex]
Reduce the fraction 15/6 to its lowest terms by extracting and cancelling out 3.
[tex] \frac{5}{2} \\ [/tex]
5/2 as a mixed fraction will become :-
[tex] \huge \boxed{\boxed{ \bf \: \frac{5}{2} = 2\frac{1}{2} }} \\ [/tex]
