How do you convert 316 to a decimal using long division?

Final answer: To convert 316 to a decimal using long division, divide 316 by 10 to get the whole number part and the decimal part . The decimal representation of 316 is 31.6.

Is 3/16 a terminating decimal?

If the only prime factors of the denominator are 2 and/or 5, the fraction will give a terminating decimal . So fractions like 3/16 (only prime factor of denominator is 2), 9/125 (only prime factor of denominator is 5) and 3/40 (only prime factors of denominator are 2 and 5) will all produce terminating decimals.

Is 3/16 a repeating decimal?

Final answer: A fraction has a repeating decimal as its decimal expansion if its denominator has prime factors other than 2 or 5. Therefore, the fractions 3/25, 3/16, and 3/11 have repeating decimal expansions .

How to convert fractions to decimals?

To convert a fraction to a decimal, divide the numerator by the denominator . If the fraction is a mixed number, be sure to convert it to an improper fraction first.

How do you convert a decimal to a 16th of an inch?

If you want to convert a decimal to a fraction of an inch, first decide what fraction you want to use - the nearest sixteenth of an inch, nearest eighth of an inch, etc. Then, multiply the decimal by the fraction you desire and round off the answer to the nearest whole number . Use the answer as the top of the fraction.

How to tell if a fraction has a terminating decimal?

To decide whether a fraction will result in a terminating decimal, follow these steps: Simplify the fraction. ... Look at the denominator. x=denominator. If x ends in 0 or 5, divide x by 5. ... If x ends in 0 or 2 or 4 or 6 or 8, divide x by 2. ... If x=1, the fraction will result in a terminating decimal.

Is 0.375 a terminating decimal?

This gives us our quotient, which is the terminating decimal 0.375.

What is 3.16 as a simplified fraction?

Solution: 3.16 as a fraction is 79/25 .

How do you convert a repeating decimal to a fraction?

To start, set the decimal equal to a variable. Multiply the decimal by 10 and subtract the original decimal from it. Finally, divide both sides by 9 to obtain the fractional form of the decimal . For example, 0.7 repeating would be 7/9, and 1.2 repeating would be 11/9.

What is 0.4375 as a fraction?

The value of 0.4375 as a fraction is 7 /16 .

What is 0.85 as a fraction?

This means 85/100 can be reduced to 17/20 . So 0.85 is equal to 17/20.

What is 0.421875 as a fraction?

Standard Fraction to Decimal and Metric Conversion Chart/Table Fraction (in) Decimal (in) Millimeters (mm) 13/32 0.40625 10.318 27/64 0.421875 10.715 7/16 0.4375 11.112 29/64 0.453125 11.509 60 more rows

How do you write 3 16 as a percent?

Example 2: Convert 3/16 to percent. Therefore, the solution is 18.75 % .

Is 3 15 as a decimal?

So 3 15 = 0.2 . Remember that a decimal is really just a special way of writing a fraction that has a power of ten as a denominator.

What is 3/16 as a decimal? (Convert 3/16 to decimal) (2024)

Converting 3/16 to a decimal is quite possibly one of the easiest calculations you can make. In this (very short) guide, we'll show you how to turn any fraction into a decimal in 3 seconds of less! Here we go!

Want to quickly learn or show students how to convert 3/16 to a decimal? Play this very quick and fun video now!

First things first, if you don't know what a numerator and a denominator are in a fraction, we need to recap that:

3 (numerator)/16 (denominator)

Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:

= 3/16

= 3 ÷ 16

= 0.1875

That's literally all there is to it! 3/16 as a decimal is 0.1875.

I wish I had more to tell you about converting a fraction into a decimal but it really is that simple and there's nothing more to say about it.

If you want to practice, grab yourself a pen and a pad and try to calculate some fractions to decimal format yourself. If you're really feeling lazy you can use our calculator below instead!

Why would you want to convert 3/16 to a decimal?

This is a great question. We have lots of calculations on this site about converting a fraction into a decimal but why would you want or need to do that in the first place?

Well, first of all it's just a good way to represent a fraction in a better way that allows you to do common arithmetic with them (like addition, subtration, division and multiplication).

In real life, we mostly deal with decimals (like currency, for example) and since our brains are taught from a young age to understand and compare decimals more often than they are fractions, it's easier to understand and compare fractions if they are converted to a decimal first!

Here's a little real life example of converting a fraction to a decimal when using quantities. Let's say you're cooking and you can usually see fractionally how much of an ingredient is left in a pack. However, electronic scales measure weight in decimals and not as a fraction of the ingredient left. This makes converting between fractions and decimals a useful skill in cooking.

Hopefully this tutorial has helped you to understand how to convert a fraction to a decimal number. You can now go forth and convert fractions to decimal as much as your little heart desires!

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