Question

How many tenths are there in four fifths?

Answer 1

`(4)/(5)/ (1)/(10)=(4)/(5)\cdot10=8`

8

Answer 2

So to find how many tenths, or 1/10's, there are in four fifths, or 4/5, divide 4/5 by 1/10.

`(4)/(5) / (1)/(10)`

Now, remember that dividing by a number is equivalent to multiplying by its reciprocal. To find the reciprocal, just flip the numerator and denominator around. In this case, 1/10 would become 10/1. Flip 1/10 to its reciprocal, change the sign to multiplication, and multiply numerators with numerators and denominators with denominators:

`(4)/(5)* (10)/(1)=(40)/(5)=8`

In short, there are 8 tenths in four fifths.