It"s very common once learning about fractions to want to know how convert a mixed fraction like 7 2/3 right into a decimal. In this step-by-step guide, we"ll present you how to turn any portion into a decimal yes, really easily. Let"s take a look!

Before we gain started in the fraction to decimal conversion, let"s walk over some an extremely quick portion basics. Remember that a molecule is the number over the fraction line, and the denominator is the number below the portion line. We"ll use this later on in the tutorial.

You are watching: 7 2 3 as an improper fraction

When we room using mixed fractions, we have actually a entirety number (in this situation 7) and also a fractional component (2/3). So what we deserve to do here to transform the mixed portion to a decimal, is very first convert it come an improper portion (where the numerator is higher than the denominator) and also then indigenous there convert the improper fraction into a decimal/

Step 1: main point the whole number through the denominator

7 x 3 = 21

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

21 + 2 = 23

Step 3: divide the an outcome of step 2 by the denominator

23 ÷ 3 = 7.6666666666667

So the prize is that 7 2/3 together a decimal is 7.6666666666667.

And the is is every there is to convert 7 2/3 to a decimal. We transform it come an improper fraction which, in this case, is 23/3 and also then we division the new numerator (23) by the denominator to acquire our answer.

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

Hopefully this tutorial has helped you come understand just how to convert a portion to a decimal and made you realize just how simple it in reality is. You have the right to now walk forth and convert combined fractions come decimal as lot as your tiny heart desires!

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Mixed portion to Decimal Calculator

Mixed fraction as Decimal

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