1. Find `3 1/2 * 1 3/4`
Solution:
`=3 (1)/(2) xx 1 (3)/(4)`
Converting mixed number to improper fraction
`=(3xx2+1)/(2) xx (1xx4+3)/(4)`
`=(7)/(2) xx (7)/(4)`
`=(7xx7)/(2xx4)`
`=(49)/(8)`
`=6 1/8` (Converting improper fraction to mixed number)
2. Find `2 3/4 * 1 5/6`
Solution:
`=2 (3)/(4) xx 1 (5)/(6)`
Converting mixed number to improper fraction
`=(2xx4+3)/(4) xx (1xx6+5)/(6)`
`=(11)/(4) xx (11)/(6)`
`=(11xx11)/(4xx6)`
`=(121)/(24)`
`=5 1/24` (Converting improper fraction to mixed number)
3. Find `2 3/4 * 1 1/4`
Solution:
`=2 (3)/(4) xx 1 (1)/(4)`
Converting mixed number to improper fraction
`=(2xx4+3)/(4) xx (1xx4+1)/(4)`
`=(11)/(4) xx (5)/(4)`
`=(11xx5)/(4xx4)`
`=(55)/(16)`
`=3 7/16` (Converting improper fraction to mixed number)
4. Find `2 1/4 * 3/4`
Solution:
`=2 (1)/(4) xx (3)/(4)`
Converting mixed number to improper fraction
`=(2xx4+1)/(4) xx (3)/(4)`
`=(9)/(4) xx (3)/(4)`
`=(9xx3)/(4xx4)`
`=(27)/(16)`
`=1 11/16` (Converting improper fraction to mixed number)
This material is intended as a summary. Use your textbook for detail explanation.
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