What is 1.6 as a fraction?

2 Answers
Nov 12, 2016

8/5 or 1 3/5

Explanation:

1.6 is 16 divided by 10 which can be written 16/10
Divide numerator and denominator by the same thing (cancel) in this case divide by 2 to give 8/5
Eight fifths is 1 whole (five fifths) and 3 fifths so as a mixed number 1 3/5

Nov 12, 2016

8/5 ( as a fraction )

I have deliberately shown this as it demonstrates a very useful technique. The short cut is as per the other solution.

Explanation:

1.6 is the same as 1+6/10

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

color(green)([1color(magenta)(xx1)]+6/10" "->" "[1color(magenta)(xx10/10)]+6/10

10/10+6/10" " =" " (10+6)/10" " =" "16/10

To simplify the fraction divide top and bottom by 2

16/10 -=(16-:2)/(10-:2) = 8/5