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User Ttemple
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\huge \boxed{\mathbb{QUESTION} \downarrow}


  • \large\sf\:3 \frac { 5 } { 6 } - 1 \frac { 1 } { 3 }\\


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}


3 \frac { 5 } { 6 } - 1 \frac { 1 } { 3 } \\

Multiply 3 and 6 to get 18.


(18+5)/(6)-(1* 3+1)/(3) \\

Multiply 1 and 3 to get 3.


(23)/(6)-(3+1)/(3) \\

Add 3 and 1 to get 4.


(23)/(6)-(4)/(3) \\

The least common multiple of 6 and 3 is 6. Convert 23/6 and 4/3 to fractions with denominator 6.


(23)/(6)-(8)/(6) \\

Because 23/6 and 8/6 have the same denominator, subtract them by subtracting their numerators.


(23-8)/(6) \\

Subtract 8 from 23 to get 15.


(15)/(6) \\

Reduce the fraction 15/6 to its lowest terms by extracting and cancelling out 3.


(5)/(2) \\

5/2 as a mixed fraction will become :-


\huge \boxed{\boxed{ \bf \: (5)/(2) = 2(1)/(2) }} \\

User Trevor Bernard
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