Question

What is 1.2 divided by 0.078?

Answer 1

`1.2/0.078 = 200/13 = 15.bar(384615)`

Explanation:

`1.2/0.078 = (1000xx1.2)/(1000xx0.078) = 1200/78 = 600/39 = (color(red)(cancel(color(black)(3)))xx200)/(color(red)(cancel(color(black)(3)))xx13) = 200/13`

To calculate this as a recurring decimal expansion, use long division:

Keep dividing until the remainder repeats to find:

`200/13 = 15.bar(384615)`