1. Find `1/2 * 3/4`
Solution:
`=(1)/(2) xx (3)/(4)`
`=(1xx3)/(2xx4)`
`=(3)/(8)`
2. Find `3/4 * 5/6`
Solution:
`=(3)/(4) xx (5)/(6)`
`=(3xx5)/(4xx6)`
`=(3xx5)/(2*2xx2*3)` (Find factors)
`=(cancel{(3)}xx5)/(2*2xx2*cancel{(3)})` (Remove common factors)
`=(5)/(8)`
3. Find `3/4 * 2/3`
Solution:
`=(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 * 5/6`
Solution:
`=(3)/(4) xx (2)/(3) xx (5)/(6)`
`=(3xx2xx5)/(4xx3xx6)`
`=(3xx2xx5)/(2*2xx3xx2*3)` (Find factors)
`=(cancel{(3)}xxcancel{(2)}xx5)/(cancel{(2)}*2xxcancel{(3)}xx2*3)` (Remove common factors)
`=(5)/(12)`
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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