**What is .6 as a fraction?**

3/5 (three fifths)

if you need to remember how to find out heres how one day to do it:

The six (6) is in the tenths place behind the decimal (.0), so just write it as a fraction using ten (10). Example 6/10.

After that reduce it to its lowest common denominator (make the number on the bottom as small as you can using division). Now divide both the top and the bottom by two in order to reduce it.

(6/10)/2 = (3/5) = .6

## What is 0.64 as a fraction?

**Answer:** 16/25

**Solution:**

The question is about conversion of a decimal fraction to a common fraction. 0.64 signifies zero units, 6 tenths, and 4 hundreds.

∴ 0.64 = 0 + 6/10 + 4/100 = 6/10 + 4/100

Now 6/10 = 2×3/10 = 3/5 and 4/100 = 4/(4×25) = 1/25

∴ 0.64 = 3/5 + 1/25 = (3×5 + 1)/25 (Taking L.C.M.)

= (15 + 1)/25 = 16/25 (Answer)

## What is .6 as a fraction?

This is a simple translation of a decimal into a fraction. If you can say 6 tenths for .6 then you can write it as a fraction.

.6(6 tenths) = 6/10 Now technically you are done.

.**6 = 6/10 ✅**

However, some people are offended if you don’t reduce the fraction to **3/5. **But this points out that there are other fractions that equal 6 tenths.

There are in fact an infinite number of answers to what fraction represents 6 tenths or .6.

Multiplying.6 = 6/10 by the same number, top and bottom, or enumerators and denominator will get you a valid answer.

For example: 6/10 = 3/5 if I reduce to lowest terms by multiplying numerator and denominator by (1/2).

I could even multiply top and bottom by the same negative number. Say I use -3 then 6/10 x -3/-3 = -18/-30 or 18/30

Thus, I can be a little fancy with set notation and write: {F**: F = 6n/10n,∀ n ∈ ℝ, the real number} ✅**

In fact, there is no reason I couldn’t choose n from the set of Complex Numbers (ℂ)

**Note**: ∀ stand “for all”.

Double Check: Reasonable/Recalculate ✅ ✅

**Answer: .6 = 6/10 or {F : F = 6n/10n, ∀ n ∈ ℂ, the complex number} (The values of n will always cancel out. )**

#### What is 0.5 as a fraction?

To convert a decimal number to a fraction, simply move the decimal to the right of the last digit of the number and divide the number by 10 raised to the power that is equal to the number of digits to the right you moved the decimal. Then simplify the fraction.

So, if you have

0.44 = 44/102102 = 44/100 = 11/25

If you have

0.125 = 125/103103= 125/1000 = 1/8

If you have

0.5 = 5/101101 = 5/10 = 1/2

At the risk of overexplaining something simple, here’s my answer.

Your best bet when trying to figure out a fraction from a decimal is to divide the decimal by 1.

You might know that dividing by 1 gives you the same result, but that’s the point — we’re looking for an equivalent form, something that is the same value as 0.5 but in a form we like.

So set up the fraction as 0.5/1.0

Notice the extra 0 there — that’s intentional. For another example, before I explain why, say we had the decimal .45 ; if we put that over 1, we get 0.45/1.00

Now, what you’re going to do is move the decimal on the top AND the bottom by one place to the right. (This is equivalent to multiplying the fraction by 10/10, which you’re allowed to do, because 10/10 = 1.) Do this as many times as you need until the top number is a whole number.

My example: 0.45/1.00 = 4.50/10.0 = 45/100.

Your question: 0.5/1.0 = 5/10

Now all you have to do is reduce the fraction. This will mean dividing the top and bottom by the same number, a number they’re both divisible by, and repeating that until they don’t have any common factors.

You can do this lots of different ways. But for both our examples, because the top and bottom numbers end in either 5 or 0, we know they’re divisible by 5. 45 divided by 5 is 9; 5 divided by 5 is 1. 100 divided by 5 is 20; 10 divided by 5 is 2. So our fractions reduce like this:

0.5/1.0 = 5/10 = 1/2

.45/1.00 = 45/100 = 9/20

This will get easier. You’ll start to remember simple decimals like this, and be able to reduce more complicated ones, more quickly as you get more familiar with them. Good luck 🙂

## Conclusion

.6 can be written as a fraction in a few different ways, all of which are equivalent. The simplest way to write .6 as a fraction is to divide 6 by 10, which would give you the fraction 6/10. However, you could also divide 60 by 100, which would give you the fraction 60/100. Both of these fractions are equivalent to .6.

The number .6, when read aloud, is 6/10. To reduce the fraction, 6=2×3 and 10=2×5. Since 2/2=1, the remaining numbers are 3/5. Therefore, the reduced fraction of 6/10 = 3/5.

As I would tell my students, write in number form exactly how you say it. So “six-tenths” = 6/10. And if you needed to reduce this, then you’d need to find your greatest common factor and divide both numerator and denominator by it.

How many paws does a cat have?

**What is .6 as a fraction?**