What is 6.4 as a fraction in simplest form

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Looking to convert 6.4 to a fraction? If so, you're in the right place! In this step-by-step guide, we'll show you exactly what the fractional form of 6.4 is and show you exactly how to calculate it so you can convert any decimal number to a fraction. Let's go!

Want to quickly learn or show students how to convert 6.4 to a fraction? Play this very quick and fun video now!

There are many reasons why you might want to convert a decimal to a fraction. The most common reason is because your teacher told you to! But beyond that, the decimal form of a fraction makes it very easy to compare two fractions quickly without having to think about it.

A quick fraction recap here before we begin. The number above the fraction line is the numerator, and the number below the fraction line is the denominator. If you've done much work with fractions you probably already know that, but it never hurts to double check!

Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:

What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 4.

To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!

In our case 4 is 1 digit long so we need to multiply the numerator and denominator by 10.

Now we just need to do that multiplication to get our whole fraction:

6.4 x 10 / 1 x 10 = 64 / 10

The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:

• Greatest Common Divisor (GCD)
• Highest Common Factor (HCF)
• Greatest Common Denominator (GCD)

The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.

In the case of 64 and 10, the greatest common divisor is 2. This means that to simplify the fraction we can divide by the numerator and the denominator by 2 and we get:

And there you have it! In just a few short steps we have figured out what 6.4 is as a fraction. The complete answer for your enjoyment is below:

6 2/5

Note: because 64 is greater than 10 we have simplified this fraction even further to a mixed fraction.

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

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Preset List of Decimals to Fractions

Below are links to some preset decimal calculations that are commonly searched for:

Random Decimal to Fraction Calculations

If you really love decimal to fraction conversions and just can't get enough, here are some random calculations for you:

(Reduced) fractional number equivalent of 6.4 is 32/5

Reference: Decimal to fraction converter

Steps to convert decimal into fraction

1. Write 6.4 as 6.4/1
2. Multiply both numerator and denominator by 10 for every number after the decimal point
   6.4 × 10/1 × 10 = 64/10
3. Reducing the fraction gives
   32/5

MathStep (Works offline)

Related: How to reduce 64/10?

Express as fraction: 6.4016.399

6.4 as a fraction and percent expansion provides the details of what is the equivalent fraction and percent for decimal 6.4, and the answer with steps to understand how it is being calculated.

6.4 as a Fraction

6.4 = 32/5

where,

6.4 in Percent

6.4 as a percent is 640%

where,

640% is a percentage.

The below workout with step by step calculation shows how to convert 6.4 to fraction in simplest form manually.

step 1 Address the input parameters and observe what to be found:
Input values: The decimal number = 6.4

What to be found:

step 2 Write 6.4 as a simple fraction: 6.4/1

step 3 Find how many 10s should be multiplied with both numerator and denominator: Since the decimal 6.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 6.4/1 to make numerator as a whole number.

(6.4 x 10)/(1 x 10) = 64/10

step 5 Check and cancel the factors of 64 and 10 if any factors in the numerator and denominator can be cancelled each other:
= (32 x 2)/(5 x 2)
64/10 = 32/5 Hence,

6.4 as a fraction is equal to 32/5.

Decimal to Fration Calculator / Converter

Convert from decimal to fraction. Convert 6.4 to Fraction. Decimal to fraction chart and calculator. Writes any decimal number as a fraction.

• Step 1: Write down the decimal as a fraction of one (decimal/1);
• Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the numerator.
• Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.

Learn more reading the examples below or use our self-explaining calculator above

0.05 = 1/20 as a fraction

Step by Step Solution

To convert the decimal 0.05 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

0.05 = 0.05/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.05/1 = (0.05 × 100)/(1 × 100) = 5/100.

Step 3: Simplify (or reduce) the fraction:

5/100 = 1/20 when reduced to the simplest form.

0.45 = 9/20 as a fraction

Step by Step Solution

To convert the decimal 0.45 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

0.45 = 0.45/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.45/1 = (0.45 × 100)/(1 × 100) = 45/100.

Step 3: Simplify (or reduce) the fraction:

45/100 = 9/20 when reduced to the simplest form.

1.3 = 13/10 = 13/10 as a fraction

Step by Step Solution

To convert the decimal 1.3 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

1.3 = 1.3/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

1.3/1 = (1.3 × 10)/(1 × 10) = 13/10.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 13/10 is also equal to 1 3/10 when expressed as a mixed number.

To convert fractions to decimals and millimeters and vice-versa use this formula:

1 inch = 25.4 mm  exactly, so ...

An easier way to do it is to use the table below. How?

Example 1

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