Question

How do you solve 3/5×4 1/6?

Answer 1

`(3)/(5)` ×
`4 (1)/(6)`

First, convert
`4(1)/(6)` to an improper fraction. Use this rule:
`a (b)/(c)` =
`(ac+b)/(c)` / Your problem should look like:
`(3)/(5)` ×
`(4x6+1)/(6)`
Second, simplify 4 × 6 to 24. / Your problem should look like:
`(3)/(5)` ×
`(24+1)/(6)`
Third, simplify 24 + 1 to 25. / Your problem should look like:
`(3)/(5)` ×
`(25)/(6)`
Fourth, apply this rule:
`(a)/(b)` ×
`(c)/(d)` =
`(ac)/(bd)` / Your problem should look like:
`(3x25)/(5x6)`
Fifth, simplify 3 × 25 to 75. / Your problem should look like:
`(75)/(5x6)`
Sixth, simplify 5 × 6 to 30. / Your problem should look like:
`(75)/(30)`
Seventh, simplify. / Your problem should look like:
`(5)/(2)`
Eighth, convert to mixed fraction. / Your problem should look like:
`2(1)/(2)`

Answer:
`2 (1)/(2)`