Question

1 7/9÷ 4/5What is one and seven ninths divided by four fifths?

Answer 1

The operation we have to solve is:

`1(7)/(9)/(4)/(5)`

The steps to solve are the following:

Step 1. Convert the first mixed number 1 7/9 to a fraction.

We convert 1 7/9 to a fraction following the general rule:

`A(b)/(c)=(A* c+b)/(c)`

Applying this to 1 7/9:

`1(7)/(9)=(1*9+7)/(9)`

which is equal to:

`1(7)/(9)=(16)/(9)`

Substituting this, the operation we have to solve is:

`(17)/(9)/(4)/(5)`

Step 2. Now we apply the following rule to divide fractions:

`(a)/(b)/(d)/(c)=(a* c)/(b* d)`

And the result is:

`(17)/(9)/(4)/(5)=(17*5)/(9*4)`

which is equal to:

`(17)/(9)/(4)/(5)=(85)/(36)`

Step 3. Convert the result to a mixed number.

In step 2 we got 85/36 as a result, but we can convert that fraction to a mixed number considering that 36 fits two times in the number 85 (because 36x2=72) and we have 85-72=13 out 36 left:

`(85)/(36)=2(13)/(36)`

Answer:

`2(13)/(36)`