Decimals to Fractions Converter Calculator
Convert Decimal to Fraction, Decimal to Mixed Fraction. Convert Fraction to Decimal, Mixed Fraction to Decimal
You can input in any of the fields and get equivalent values.
What are Decimals and Fractions?
- Decimals and fractions are two different ways of representing numbers.
- Decimals use a decimal point to separate the whole number part of a number from the fractional part. Fractions are shown with a numerator over a denominator eg 2/5
- The decimal system is a base-10 number system, meaning that the position of each digit in a number represents a power of 10.
- Decimals and fractions can be used to represent the same number. For example, 0.5 is equal to 1/2.
- Decimals are used while purchasing with money, temperature readings, scores and marks in percentages, any length measurement in inch, mm or cm or volume measurement of ml or ounce use decimals for accuracy
- Fractions are used in every day life such as recipe measurements like 1/3 cup or 11/2 tablespoon, in scoring like 9/10, purchasing milk like 3 1/2 liters, time measures like 3/4 hour or 1/2 day, stats and sports
How to Convert Decimal to Fraction
Step 1: To turn decimal into fraction, write the given decimal value in the form of a ratio (x/y), where the denominator is equal to 1.
Step 2: Multiply the numerator and denominator by multiples of 10, for every decimal point, in order that the decimal value in the numerator becomes a whole number.
Step 3: Simply the resultant fraction value.
For converting decimal to mixed number, divide the numerator by the denominator from the above resultant value. The remainder becomes the new numerator with the same denominator and the whole number from the division is the main part Example: if fraction value is 5/4 , then mixed fraction becomes 1 1/4
See next section for turning fractions into decimals
How to Convert Fraction to Decimal
Step 1: To change fraction to decimal, divide the numerator value by the denominator value.
Step 2: Stop the division method when you get 0 in the remainder.
Step 3: The value obtained in the quotient will be converted to decimals.
How to Convert Mixed Fraction to Decimal (mixed number to decimal)
Step 1: Convert the given mixed number into the improper fraction value.
Step 2: Simplify the obtained fraction value.
Step 3: Divide the fraction.
How to Convert Decimal to fraction inches
Inch fractions use denominators that are powers of 2 and go up to the 64th of an inch. That means the fraction denominators will be 2, 4, 8, 16, 32, and 64. As a result, converting a decimal to an inch fraction is not quite the same as converting a decimal to a regular fraction.
Step 1: Let's take your decimal value, a
Step 2: Choose the precision, or in other words, the value of denominator, d
Step 3: Multiply these numbers and round them off to the nearest whole number numerator = roundoff(a * d). The resulting inch fraction is numerator / d .
Decimal as a Fraction table
| Decimal / Whole Number Input | Fraction |
|---|---|
| 0.01 | 1/100 |
| 0.015625 | 1/64 |
| 0.02 | 1/50 |
| 0.025 | 1/40 |
| 0.03 | 3/100 |
| 0.03125 | 1/32 |
| 0.04 | 1/25 |
| 0.05 | 1/20 |
| 0.06 | 3/50 |
| 0.0625 | 1/16 |
| 0.07 | 7/100 |
| 0.075 | 3/40 |
| 0.08 | 2/25 |
| 0.09 | 9/100 |
| 0.1 | 1/10 |
| 0.11 | 11/100 |
| 0.11111 | 11111/100000 |
| 0.12 | 3/25 |
| 0.125 | 1/8 |
| 0.13 | 13/100 |
| 0.14 | 7/50 |
| 0.15 | 3/20 |
| 0.16 | 4/25 |
| 0.16666 | 8333/50000 |
| 0.17 | 17/100 |
| 0.18 | 9/50 |
| 0.1875 | 3/16 |
| 0.19 | 19/100 |
| 0.2 | 1/5 |
| 0.22 | 11/50 |
Frequently Asked Questions on Fraction to Decimal Calculator
A Decimal number is a number which has two part whole number part and a fractional part seperated by a decimal point.
Fractions are the numberical value that are part of a whole.
Numbers are seperated by a / and the upper part of the fraction is known as numerator and lower part is denominator.
An imoproper fraction is a fraction in which the numerator value is greater than the denomiantor value.
For example: 7 / 5
A mixed fraction is just a combination of a whole number and the proper fraction.Represented with its quotient and the remainder.
5 1/3 1 represents the remainder and 5 represents the quotient.
Step 1:Write the given decimal value in the form of a ratio (x/y), where the denominator is equal to 1.
Step 2: Multiply the numerator and denominator by multiples of 10, for every decimal point, in order that the decimal value in the numerator becomes a whole number.
Step 3: Simply the resultant fraction value.
Step 1: Divide the numerator value by the denominator value. Step 2: Stop the division method when you get 0 in the remainder. Step 3: The value obtained in the quotient will be converted decimals.
It deponds upon the unit of the decimal.
If it is in foot then we need to multiply the number by 12.
It deponds upon the unit of the decimal.
If it is in foot then we need to divide the number by 12.
First convert the mixed fraction to improper fraction and then divide numerator and denominator in usual way.
The first digit to the right of the decimal point indicates the Decimal of tenths or tenth decimal.
The Second digit to the right of the decimal point indicates the Decimal of Hundredths or Hundredths decimal.
1 16th of an inch in decimals is 0.0625.
First find put the repeating number and equate the decimal number to x.
Multiply the above equation by the power of 10 and solve the above equation to get the fraction value x.
