Property 3
Mixed Number
\(a\ge b>0\)
Change the improper fraction to a mixed number.
Divide the numerator by the denominator to find the whole number if there is a remainder, write it over the denominator to form the fraction part
\(\samefrac ab=c\samefrac db\quad\text{where c is the quotient remainder is d}\)
in order words;
\(c\samefrac db=c+\samefrac db\)
Example
\(\samefrac{11}{5}\)
| \(11\) | \(5\) |
| \(-10\) | \(2\) |
| \(1\) |
\(\samefrac{11}{5}=2\samefrac15\)
1.
\(2\samefrac34=?\)
2.
\(2\samefrac15+2\samefrac25=?\)
3.
\(2\samefrac43-3\cdot\samefrac{1}{6}=?\)
4.
\(2\samefrac34-\samefrac{1}{2}+1=?\)
5.
\(\samefrac{2\samefrac12}{3\samefrac13}=?\)
6.
\(2\samefrac34-2\samefrac32+\samefrac{1}{4}=?\)
7.
\(3\samefrac6{11}+2\samefrac5{11}=?\)
8.
\(5\samefrac2{27}+6\samefrac{25}{27}=?\)
Property 4
If rational expressions are in the form of step wise, the order of operation is followed firstly multiplication, division, addition and subtraction respectively.
1.
\(\samefrac2{1-\samefrac{1}{3}}=?\)
2.
\(2+\samefrac1{2-\samefrac{1}{2}}=?\)
3.
\(\samefrac1{1-\samefrac2{3+\samefrac{1}{2}}}=?\)
4.
\(\samefrac{2+\samefrac{2-\samefrac{2}{3}}3}4=?\)
5.
\(3-\samefrac{6-\samefrac{1+\samefrac{1}{2}}4}3=?\)
6.
\(2-\samefrac{2-\samefrac{1}{2}}{1+\samefrac{1}{3}}=?\)
7.
\(1-\samefrac{1+\samefrac{1-\samefrac{1}{2}}3}4=?\)
8.
\(3-\samefrac{1+\samefrac{3}{4}}{1-\samefrac{1}{2}}=?\)