What is 49 5/7 as a decimal?
It's very common when learning about fractions to want to know how convert a mixed fraction like 49 5/7 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 49) and a fractional part (5/7). 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
49 x 7 = 343
Step 2: Add the result of step 1 to the numerator
343 + 5 = 348
Step 3: Divide the result of step 2 by the denominator
348 ÷ 7 = 49.714285714286
So the answer is that 49 5/7 as a decimal is 49.714285714286.
And that is is all there is to converting 49 5/7 to a decimal. We convert it to an improper fraction which, in this case, is 348/7 and then we divide the new numerator (348) 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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"What is 49 5/7 as a decimal?". VisualFractions.com. Accessed on September 27, 2023. http://visualfractions.com/calculator/mixed-to-decimal/what-is-49-5-7-as-a-decimal/.
"What is 49 5/7 as a decimal?". VisualFractions.com, http://visualfractions.com/calculator/mixed-to-decimal/what-is-49-5-7-as-a-decimal/. Accessed 27 September, 2023.
What is 49 5/7 as a decimal?. VisualFractions.com. Retrieved from http://visualfractions.com/calculator/mixed-to-decimal/what-is-49-5-7-as-a-decimal/.
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Mixed Fraction as Decimal
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