Question

3 3/5 divided by 1 4/5

Answer 1

2

Explanation:

`3(3)/(5)/1(4)/(5)`

First, divide these mixed numbers into improper fractions. Multiply the whole by the denominator to get the numerator.

Example:

`1=(5)/(5)\\\\2=(10)/(5)\\\\5=(25)/(5)`

First,
`3(3)/(5)` :

`3*5=15\\(15)/(5)+(3)/(5)=(18)/(5)`

Then
`1(4)/(5)` :

`1*5=5\\(5)/(5)+(4)/(5)=(9)/(5)`

Now you can rewrite the expression:

`(18)/(5)/(9)/(5)`

To divide fractions, you can instead invert the divisor and multiply instead:

`(18)/(5)/(9)/(5)=(18)/(5)*(5)/(9)\\\\\rightarrow (18*5)/(5*9)\\\rightarrow (90)/(45)\\\rightarrow 2`