Question

Divide four and one half by the following unit fractions a one eighth B one fourth C16divide 4 1/2 by the following unit fractions: a. 1/8 b. 1/4 c. 1/6

Answer 1

`4(1)/(2)`

Express the mixed number as a fraction:

`4(1)/(2)=(4\cdot2+1)/(2)=(8+1)/(2)=(9)/(2)`

Now, let's use the following formula to divide fractions:

`(a)/(b)/(c)/(d)=(ad)/(bc)`

So:

`(9)/(2)/(1)/(8)=(9\cdot8)/(2\cdot1)=(72)/(2)=36`
`(9)/(2)/(1)/(4)=(9\cdot4)/(2\cdot1)=(36)/(2)=18`
`(9)/(2)/(1)/(6)=(9\cdot6)/(2\cdot1)=(54)/(2)=27`