# Write a decimal equivalent to 34

Let's do a couple more problems. And let's add some trailing 0's for the decimal point here. And if we have time, maybe we'll learn how to do a decimal into a fraction. If you actually saw this on exam they'd probably tell you to stop at some point. See the References at the foot of this page for the English translation in paperback.

## 3/20 as a decimal

Bring down another 0. This is the thousandths place. Goes into it one time. It will go into it, I think, roughly eight times. And you can keep doing it if you want. A The denominators that have decimals that eventually recur, either as purely recurring decimals or else as mixed recurring decimals are those which do not have a terminating decimal expansion: 3, 6, 7, 9, 11, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 26, 27, So we see 17 divided by 9 is equal to 1. We could keep figuring out the decimal points.

You could do this indefinitely. So let's start with, what I would say, is a fairly straightforward example. That is a fraction. Let's see.

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