What is 27 378/396 as a decimal?

It's very common when learning about fractions to want to know how convert a mixed fraction like 27 378/396 into a decimal. In this step-by-step guide, we'll show you how to turn any fraction into a decimal really easily. Let's take a look!

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

When we are using mixed fractions, we have a whole number (in this case 27) and a fractional part (378/396). So what we can do here to convert the mixed fraction to a decimal, is first convert it to an improper fraction (where the numerator is greater than the denominator) and then from there convert the improper fraction into a decimal/

Step 1: Multiply the whole number by the denominator

27 x 396 = 10692

Step 2: Add the result of step 1 to the numerator

10692 + 378 = 11070

Step 3: Divide the result of step 2 by the denominator

11070 ÷ 396 = 27.954545454545

So the answer is that 27 378/396 as a decimal is 27.954545454545.

And that is is all there is to converting 27 378/396 to a decimal. We convert it to an improper fraction which, in this case, is 11070/396 and then we divide the new numerator (11070) by the denominator to get our answer.

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few mixed fractions to a decimal yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a decimal and made you realize just how simple it actually is. You can now go forth and convert mixed fractions to decimal as much as your little heart desires!

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