left-arrow-icon
dec-frac-icon

Decimals to Fractions Converter Calculator

Convert Decimal to Fraction, Decimal to Mixed Fraction. Convert Fraction to Decimal, Mixed Fraction to Decimal

Home

Math

Decimal Fraction Converter


You can input in any of the fields and get equivalent values.
=
=

What are Decimals and Fractions?

Conversion Icon
  • 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

Deci Frac icon
  • 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

Deci Frac icon
  • 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)

Deci Frac icon
  • 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

Deci Frac icon
  • 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

Conversion Table Icon
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