# Inches to Fraction Calculator

Created by Wojciech Sas, PhD
Reviewed by Bogna Szyk and Jack Bowater
Last updated: Jun 05, 2023

This is the inches to fractions calculator, a simple and intuitive tool that helps you convert any decimal to fraction inches. Do you want to make a length conversion from mm to inches fraction? That's not a problem at all!

Alternatively, you can also turn any fraction to inches, and then to its inch fraction, adjusting for the appropriate precision. Converting inches to fractions has never been this entertaining, has it?

## How to convert decimal to fraction inches?

Transforming a distance in its decimal form to its fraction inches is almost the same as converting any decimal to a regular fraction. Almost. Principally, we have to find the ratio of two numbers, the numerator, and the denominator. The only difference is that the denominator should be to the power of 2: 2, 4, 8, 16, etc.

So, how to convert a decimal to an inch fraction?

• Let's take your decimal value, $x$;
• Choose the precision, or in other words, the value of the denominator, $d$;
• Multiply these numbers and round them to the closest whole number, $\mathrm {n = round(d \cdot x)}$;
• The resulting inch fraction is then n /d.

You can also use our ratio calculator to aid you in doing the math.

As you can see, the outcome is sometimes only an approximation of real value because of rounding. But for typical everyday measurements, it's accurate enough, especially when you choose a precision of $¹/₃₂$ or higher.

💡 Check our decimal to fraction calculator if you want to get the results without losing the precision!

🙋 Did you know that music intervals also rely on dyadic fractions (fractions with the denominator 2ⁿ), as it concerns frequencies?

## How to convert distance in mm to inches fraction?

Imagine you want to buy new tires for your bike, or you're preparing a spot for your new TV. You take out your ruler or meterstick and get to measuring. But it's in mm, or cm, or another metric unit your not exactly familiar with. So, is there an easy way to convert mm to inches fraction?

1. If you have the length in mm, divide the result by $25.4$;

2. If you have the length in cm, divide the result by $2.54$;

3. If you have the length in m, divide the result by $0.0254$;

4. Then convert this decimal to fraction inches as you've learned from the previous section.

You can convert any length unit to inches, but you don't have to remember all the formulas by heart - just use our inches to fraction calculator, and choose one of the most common length units.

## Fraction to inches conversion table

Take a look at this table if you want to find any inch fraction between 0" and 1" with steps of 1⁄64".

Fraction Inches

Decimal Inches ["]

Millimeters [mm]

1⁄64"

0.015625

0.396875

1⁄32"

0.03125

0.79375

3⁄64"

0.046875

1.190625

1⁄16"

0.0625

1.5875

5⁄64"

0.078125

1.984375

3⁄32"

0.09375

2.38125

7⁄64"

0.109375

2.778125

1⁄8"

0.125

3.175

9⁄64"

0.140625

3.571875

5⁄32"

0.15625

3.96875

11⁄64"

0.171875

4.365625

3⁄16"

0.1875

4.7625

13⁄64"

0.203125

5.159375

7⁄32"

0.21875

5.55625

15⁄64"

0.234375

5.953125

1⁄4"

0.25

6.35

17⁄64"

0.265625

6.746875

9⁄32"

0.28125

7.14375

19⁄64"

0.296875

7.540625

5⁄16"

0.3125

7.9375

21⁄64"

0.328125

8.334375

11⁄32"

0.34375

8.73125

23⁄64"

0.359375

9.128125

3⁄8"

0.375

9.525

25⁄64"

0.390625

9.921875

13⁄32"

0.40625

10.31875

27⁄64"

0.421875

10.715625

7⁄16"

0.4375

11.1125

29⁄64"

0.453125

11.509375

15⁄32"

0.46875

11.90625

31⁄64"

0.484375

12.303125

1⁄2"

0.5

12.7

33⁄64"

0.515625

13.096875

17⁄32"

0.53125

13.49375

35⁄64"

0.546875

13.890625

9⁄16"

0.5625

14.2875

37⁄64"

0.578125

14.684375

19⁄32"

0.59375

15.08125

39⁄64"

0.609375

15.478125

5⁄8"

0.625

15.875

41⁄64"

0.640625

16.271875

21⁄32"

0.65625

16.66875

43⁄64"

0.671875

17.065625

11⁄16"

0.6875

17.4625

45⁄64"

0.703125

17.859375

23⁄32"

0.71875

18.25625

47⁄64"

0.734375

18.653125

3⁄4"

0.75

19.05

49⁄64"

0.765625

19.446875

25⁄32"

0.78125

19.84375

51⁄64"

0.796875

20.240625

13⁄16"

0.8125

20.6375

53⁄64"

0.828125

21.034375

27⁄32"

0.84375

21.43125

55⁄64"

0.859375

21.828125

7⁄8"

0.875

22.225

57⁄64"

0.890625

22.621875

29⁄32"

0.90625

23.01875

59⁄64"

0.921875

23.415625

15⁄16"

0.9375

23.8125

61⁄64"

0.953125

24.209375

31⁄32"

0.96875

24.60625

63⁄64"

0.984375

25.003125

1"

1

25.4

## Let's convert inches to fraction - inches to fraction calculator in practice

Imagine you've bought a wooden panel, 5 meters long. You plan to cut it into six equal parts, but you have only a tape measure with the fractional inches scale. We can measure the length with precision down to ¹/₃₂". Here is how to deal with the problem:

1. Divide 5 m by 6, $5 \text{ m} / 6 = \text{ }^5/_6 \text{ m}$. It's the length of each part.

2. Convert the measurement in mm to inches by dividing the value by 25.4 and rounding the outcome to two decimal digits (those will be our significant figures):
$(\text{ }^5/_6 \text{ m}) / 25.4 = 32.81 \text{ in}$

3. Our precision is $¹/₃₂"$. Multiply the value above by 32:
$32.81 \text{ in} × 32 = 1049.92 \text{ in}$

4. Round the outcome to the nearest whole number, $1050 \text{ in}$.

5. Finally, we can convert the length from inches to fraction: $¹⁰⁵⁰/₃₂"$.

6. As there are countless equivalent fractions to our result (try Omni's equivalent fractions calculator for the proof), we can make our lives easier by simplifying this inch fraction. Find the least common multiple of 1050 and 32, which is 2. Divide both numerator and denominator by 2, so we get $⁵²⁵/₁₆"$. As it's an improper fraction, convert it to a mixed number: $32 ¹³/₁₆"$ (you can use the modulo operation to find the quotient quickly). If you want to go even further, let's extract feet from the mm to inches fraction conversion result. The result is finally: $2' 8 ¹³/₁₆"$

As you can see, you should take a few steps to obtain the outcome. You can save time by using our inches to fractions calculator, which shows the result immediately!

## FAQ

### How do I convert decimal inches to fractional inches?

To convert from decimal inches to fractional inches:

1. Choose a denominator d that's a power of 2 (2, 4, 8, 16, etc.).

2. Take the decimal part of the measurement in inches. We'll call it x.

3. Multiply the decimal part by the denominator: x × d.

4. Round up your result. This will be the numerator n of the fraction.

5. Indicate the decimal part as n/d inches.

6. Express your initial value as the whole N and the fraction parts:

N n/d in.

### What's 12 mm to fractional inches?

It's 15/32 in. When expressing millimeters in fractional inches, we first need to convert from millimeters to inches using the conversion factor of 25.4 mm to 1 inch.

Then, to indicate the measurement as an inch fraction, we choose a denominator that is a power of 2 (such as 32) and calculate the numerator by rounding up the result of multiplying the decimal part of the measurement value by the denominator.

### How do I convert 7 mm to fractional inches?

To convert 7 mm to fractional inches:

1. Convert from millimeters to inches:

7 mm × (1 in /25.4 mm) = 0.2756 in

2. Choose a denominator d that's a power of 2, let's say 32.

3. Identify the decimal part of the measurement, x. In our case:

x = 0.2756 in

4. Determine the numerator n by multiplying the decimal part by the denominator and rounding up:

n = (x × d)
n = (0.2576 × 32), rounded up= 9.

5. Express the 7 mm measurement as the fraction n/d. This is 9/32 in.

### What is 11.81 inches as a fraction?

It's 11 13/16 in. To express the measurement in fractional inches, we use 16 as a denominator, then calculate the numerator by rounding up the result of multiplying the decimal part of the measurement value by the denominator. Finally, we express the measurement as a mixed number, the whole and the fractional parts.

Wojciech Sas, PhD
Enter distance (decimal or fraction)
in
Precision
1/32
Result
Convert to other units
mm
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