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Decimal to Fraction - Fraction to Decimal

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

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Level Up Your Math Skills with Decimal to Fraction and Fraction to Decimal Conversion

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  • Decimals and fractions are two ways of representing numbers.
  • Decimals use a decimal point to separate the whole number part of a number from the fractional part. Fractions use a fraction bar to separate the numerator (the number of parts) from the denominator (the total number of parts).
  • The decimal system is a base-10 number system, meaning that the position of each digit in a number represents a power of 10. The fraction system is a base-60 number system, meaning that the position of each digit in a fraction represents a power of 60.
  • Decimals can be converted to fractions by multiplying the decimal by 10, 100, 1000, and so on, until the fractional part ends with a zero. This will give us a denominator with a number of nines equal to the number of digits after the decimal point. We can then simplify the fraction by dividing the numerator and denominator by the greatest common factor.
  • Fractions can be converted to decimals by dividing the numerator by the denominator. If the numerator is not divisible by the denominator, we can continue to divide, bringing down zeros in the decimal part until we reach a repeating pattern or the denominator goes into the numerator with no remainder. If there is a repeating pattern in the decimal part, we can convert the fraction to a decimal by subtracting the non-repeating part from the repeating part and dividing by the length of the repeating part.
  • Decimals and fractions can be used to represent the same number. For example, 0.5 is equal to 1/2. Decimals and fractions are both useful ways to represent numbers, and the best way to represent a number will depend on the context.
Here are some examples of decimals and fractions in the real world:
  • Decimals:
  • Money: We use decimals to represent money, such as $5.25.
  • Measurements: We use decimals to represent measurements, such as 3.25 meters or 12.5 ounces.
  • Percentages: We use decimals to represent percentages, such as 22% or 75%.
  • Fractions:
  • Recipes: We use fractions to represent ingredients in recipes, such as 1/2 cup of flour or 1/4 cup of milk.
  • Time: We use fractions to represent time, such as 1/2 hour or 3/4 of a day.
  • Sports: We use fractions to represent scores and stats in sports, such as 1/2 time, or 3/4 innings.
Decimal to fraction and fraction to decimal conversions are used in a variety of applications, including:
  • Mathematics and science: Decimal to fraction and fraction to decimal conversions are used in many mathematical and scientific calculations, such as finding the area of a triangle or the volume of a sphere.
  • Engineering and technology: Decimal to fraction and fraction to decimal conversions are used in engineering and technology to design and build products and systems.
  • Finance and business: Decimal to fraction and fraction to decimal conversions are used in finance and business to calculate interest rates, currency exchange rates, and other financial data.
  • Everyday life: Decimal to fraction and fraction to decimal conversions are used in everyday life to measure ingredients for cooking, calculate discounts when shopping, and convert units of measurement.
Here are some practical examples of using decimal to fraction or fraction to decimal conversion:
Decimal to fraction:
  • Cooking: When following a recipe, you may need to convert a decimal measurement to a fraction to ensure accurate measurement. For example, if a recipe calls for 0.5 cups of milk, you can convert this to the fraction 1/2 cup.
  • Sewing: Sewing patterns often use fractions to indicate seam allowances and other measurements. For example, a seam allowance of 1/4 inch can be converted to the decimal 0.25 inches.
  • Medication: Medication dosages are often prescribed in fractions. For example, a child may be prescribed 1/2 tablet of a medication.
Fraction to decimal:
  • Shopping: When shopping, you may need to convert a decimal price to a fraction to compare prices or calculate discounts. For example, if two items are priced at $0.99 and $1.00, you can convert the prices to the fractions 99/100 and 100/100, respectively. This shows that the two items are essentially the same price.
  • Finance: When calculating interest rates, currency exchange rates, and other financial data, it is often necessary to convert fractions to decimals. For example, if an interest rate is quoted as 1/4%, you would need to convert this to the decimal 0.25% to perform calculations.
  • Science and engineering: Scientists and engineers use decimals and fractions in a variety of calculations. For example, the volume of a sphere is calculated using the formula 4/3 πr³, where r is the radius of the sphere.

Note: The above content has inputs from Bard, the AI model from Google.

How to Convert Decimal to Fraction

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  • 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

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  • 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)

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  • 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 as a fraction

1/100

0.015625 as a fraction

1/64

0.02 as a fraction

1/50

0.025 as a fraction

1/40

0.03 as a fraction

3/100

0.03125 as a fraction

1/32

0.04 as a fraction

1/25

0.05 as a fraction

1/20

0.06 as a fraction

3/50

0.0625 as a fraction

1/16

0.07 as a fraction

7/100

0.075 as a fraction

3/40

0.08 as a fraction

2/25

0.09 as a fraction

9/100

0.1 as a fraction

1/10

0.11 as a fraction

11/100

0.11111 as a fraction

11111/100000

0.12 as a fraction

3/25

0.125 as a fraction

1/8

0.13 as a fraction

13/100

0.14 as a fraction

7/50

0.15 as a fraction

3/20

0.16 as a fraction

4/25

0.16666 as a fraction

8333/50000

0.17 as a fraction

17/100

0.18 as a fraction

9/50

0.1875 as a fraction

3/16

0.19 as a fraction

19/100

0.2 as a fraction

1/5

0.22 as a fraction

11/50

Convert as a Decimal and Fraction

Input

Decimal

Fraction

Mixed Fraction

1 16th of an inch in decimals

0.0625

1 / 16

1/16

4 inches in decimal

0.333

333 / 1000

333/1000

8 inches in decimal

0.667

667 / 1000

667/1000

1 inch in decimals

0.0833

833 / 10000

833/10000

3 tenths as a decimal

0.3

3/10

3/10

15 as a decimal and fraction

15

15 / 1

15

1 10th of an inch

0.1

1 / 10

1/10

6 as a fraction and decimal

6

6 / 1

6 0/1

84 as a fraction and decimal

84

84 / 1

84 0/1

5 as a decimal and fraction

5

5 / 1

5 0/1

4 as a fraction and decimal

4

4 / 1

4 0/1

32nds to decimal

0.0313

313 / 10000

313/10000

4.5 decimal to fraction

4.5

9 / 2

4 1/2

32 as a decimal and fraction

32

32 / 1

32 0/1

2.5 as a decimal and fraction

2.5

5 / 2

2 1/2

17 mm in inches fraction(17 mm = 0.669 inches)

0.669

669 / 1000

669/1000

2 as a decimal and fraction

2

2 / 1

2 0/1

0.25 as a fraction and decimal

0.25

1 / 4

1/4

16ths as decimals=1/16=0

0.0625

1 / 16

1/16

3 inches in decimal form

0.25

1 / 4

1/4

1 inch to tenths=(1/1/10)=10

10

10 / 1

10 0/1

3 mm to fractional inches=1/8

0.125

1 / 8

1/8

convert 3 mm to fractional inches

0.09375

3 / 32

3/32

5 16 to inches decimal

0.3125

5 / 16

5/16

decimal to 16th fraction

0.0625

1 / 16

1/16

convert 6.432 into a decimal fraction

6.432

804 / 125

6 54/125

0.7 decimal to fraction

0.7

7 / 10

7/10

decimal to fraction 0.6

0.6

3 / 5

3/5

5 decimal fractions

5

5 / 1

5 0/1

10mm to decimal inches

0.3937

3937 / 10000

3937/10000

9 upon 8 decimal fraction

1.125

9 / 8

1 1/8

35 as a decimal fraction

35

35 / 1

35 0/1

2 and 16 hundredths in decimals

2.16

216 / 100

2 16/100

3 8 inch to decimal conversion

0.375

3 / 8

3/8

decimal for 1 inch

0.0833

833 / 10000

833/10000

Frequently Asked Questions on Fraction to Decimal Calculator

FAQ icon

  • 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.