1. Find 1/2 / 3/4
Solution:
=(1)/(2) -: (3)/(4)
=(1)/(2) xx (4)/(3)
=(1xx4)/(2xx3)
=(1xx2*2)/(2xx3) (Find factors)
=(1xxcancel{(2)}*2)/(cancel{(2)}xx3) (Remove common factors)
=(2)/(3)
2. Find 3/4 / 5/6
Solution:
=(3)/(4) -: (5)/(6)
=(3)/(4) xx (6)/(5)
=(3xx6)/(4xx5)
=(3xx2*3)/(2*2xx5) (Find factors)
=(3xxcancel{(2)}*3)/(cancel{(2)}*2xx5) (Remove common factors)
=(9)/(10)
3. Find 3/4 / 3/2
Solution:
=(3)/(4) -: (3)/(2)
=(3)/(4) xx (2)/(3)
=(3xx2)/(4xx3)
=(3xx2)/(2*2xx3) (Find factors)
=(cancel{(3)}xxcancel{(2)})/(cancel{(2)}*2xxcancel{(3)}) (Remove common factors)
=(1)/(2)
4. Find 3/4 / 2/3
Solution:
=(3)/(4) -: (2)/(3)
=(3)/(4) xx (3)/(2)
=(3xx3)/(4xx2)
=(9)/(8)
=1 (1)/(8) (Converting improper fraction to mixed number)
5. Find 1/2 * 3/4 / 5/6
Solution:
=(1)/(2) xx (3)/(4) -: (5)/(6)
=(1)/(2) xx (3)/(4) xx (6)/(5)
=(1xx3xx6)/(2xx4xx5)
=(1xx3xx2*3)/(2xx2*2xx5) (Find factors)
=(1xx3xxcancel{(2)}*3)/(cancel{(2)}xx2*2xx5) (Remove common factors)
=(9)/(20)
This material is intended as a summary. Use your textbook for detail explanation.
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