For example, if you want to calculate 612÷214{\displaystyle 6{\frac {1}{2}}\div 2{\frac {1}{4}}}, you would multiply 6×2=12{\displaystyle 6\times 2=12} and 2×4=8{\displaystyle 2\times 4=8}.
For example, 12+1=13{\displaystyle 12+1=13} and 8+1=9{\displaystyle 8+1=9}.
For example, 612{\displaystyle 6{\frac {1}{2}}} becomes 132{\displaystyle {\frac {13}{2}}} and 214{\displaystyle 2{\frac {1}{4}}} becomes 94{\displaystyle {\frac {9}{4}}}.
For example, 3=31{\displaystyle 3={\frac {3}{1}}}.
For example, 132÷94{\displaystyle {\frac {13}{2}}\div {\frac {9}{4}}}.
For example, if you take the reciprocal of 94{\displaystyle {\frac {9}{4}}}, it becomes 49{\displaystyle {\frac {4}{9}}}. So 132÷94{\displaystyle {\frac {13}{2}}\div {\frac {9}{4}}} becomes 132×49{\displaystyle {\frac {13}{2}}\times {\frac {4}{9}}}
For example, if calculating 132×49{\displaystyle {\frac {13}{2}}\times {\frac {4}{9}}}, you would multiply the numerators: 13×4=52{\displaystyle 13\times 4=52}.
For example, if calculating 132×49{\displaystyle {\frac {13}{2}}\times {\frac {4}{9}}}, you would multiply the denominators: 2×9=18{\displaystyle 2\times 9=18}. Putting together your numerator and denominator, your answer becomes 5218{\displaystyle {\frac {52}{18}}}.
For example, 52{\displaystyle 52} and 18{\displaystyle 18} are both divisible by 2{\displaystyle 2}. 52÷2=26{\displaystyle 52\div 2=26}18÷2=9{\displaystyle 18\div 2=9}So, 5218=269{\displaystyle {\frac {52}{18}}={\frac {26}{9}}}
For example, 26÷9=2{\displaystyle 26\div 9=2} with a remainder of 8{\displaystyle 8}. Thus, the whole number of your mixed number will be 2.
For example, if your original denominator is 9{\displaystyle 9} and your remainder is 8{\displaystyle 8}, the fraction of your mixed number is 89{\displaystyle {\frac {8}{9}}}.
