It"s an extremely common when learning around fractions to want to understand how transform a mixed portion like 17 200/112 into a decimal. In this step-by-step guide, we"ll present you how to rotate any fraction into a decimal really easily. Let"s take a look!

Before we get started in the portion to decimal conversion, let"s go over some very quick fraction basics. Remember the a molecule is the number above the portion line, and the denominator is the number below the fraction line. We"ll use this later on in the tutorial.

You are watching: 17/200 as a decimal

When we room using mixed fractions, we have a whole number (in this situation 17) and a fractional component (200/112). So what we can do below to transform the mixed portion to a decimal, is an initial convert it to an improper portion (where the numerator is greater than the denominator) and also then indigenous there convert the improper portion into a decimal/

Step 1: multiply the entirety number by the denominator

17 x 112 = 1904

Step 2: add the an outcome of action 1 to the numerator

1904 + 200 = 2104

Step 3: divide the an outcome of action 2 through the denominator

2104 ÷ 112 = 18.785714285714

So the prize is that 17 200/112 together a decimal is 18.785714285714.

And that is is all there is to converting 17 200/112 come a decimal. We convert it to an improper portion which, in this case, is 2104/112 and then we division the new numerator (2104) by the denominator to get our answer.

If you desire to practice, grab you yourself a pen, a pad, and a calculator and shot to convert a couple of mixed fractions to a decimal yourself.

Hopefully this tutorial has actually helped you to understand exactly how to transform a portion to a decimal and made girlfriend realize just how straightforward it in reality is. You can now walk forth and convert blended fractions to decimal as lot as your little heart desires!

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Mixed portion as Decimal

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