To **convert Thousandths of an Inch to Inch Fractions** and vice versa, there are several paths, in this article I share the easiest path.

## Part 1. Converting Thousandths of an Inch to Inch Fraction.

**Procedure:**

- Count the decimal digits (n) that are after or to the right of the decimal point.
- Create a multiple of 10 with the previous digits (n) like 10^n.
- Multiply the value in thousandths of an inch by the multiple of 10 found in step 2, to find the numerator of the fraction.
- As the denominator, place the multiple of 10 found in step 2.
- Simplify to the maximum.

**Example:**

Convert the value **0.46875** to an inch fraction.

**Steps:**

- Count the decimal digits (n) that are after or to the right of the decimal point. In this example, to the right of the decimal point in the value there are 5 decimal digits, so
**n = 5.** - Create a multiple of 10 with the previous digits (n) like
**10^n**.

In this example, as**n = 5**, we will have a multiple of 10 like this:**10^5**=**10X10X10X10X10**=**100,000** - Multiply the value in thousandths of an inch by the multiple of 10 found in step 2, to find the numerator of the fraction. So:
**0.46875 X 100,000**=**46,875**which is now the numerator of the fraction in inches. - As the denominator, place the multiple of 10 found in step 2. So:
**46,875/100,000** - Simplify the previous fraction to the maximum:
**46,875/100,000**; if you take a fifth (divide by 5) in the numerator and denominator =**9,375/20,000**you can still continue simplifying:**9,375/20,000**; if you take a fifth (divide by 5) in the numerator and denominator =**1,875/4,000**you can still continue simplifying:**1,875/4,000**; if you take a fifth (divide by 5) in the numerator and denominator =**375/800**you can still continue simplifying:**375/800**; if you take a fifth (divide by 5) in the numerator and denominator =**75/160**you can still continue simplifying:**75/160**; if you take a fifth (divide by 5) in the numerator and denominator =**15/32**you can’t simplify any further.

We have reached the end of the simplification or reduction of the fraction, so we have also finished operating, so finally:

We have reached the end of the simplification or reduction of the fraction, so we have also finished operating, so finally:

**0.46875 in**. is equivalent to **46,875/100,000** and is in turn equivalent to: **15/32 in.**

## Let’s see another example:

Convert the value **0.875** to an inch fraction.

**Steps:**

- Count the number of decimal places (n) that are after or to the right of the decimal point.

In this example, to the right of the decimal point of the value there are 3 decimal places, so**n = 3.** - Create a multiple of
**10**with the previous digits (n) as**10^n**.

In this example, since**n = 3**, we will have a multiple of**10**as follows:**10^3**=**10X10X10**=**1,000** - Multiply the value in thousandths of an inch by the multiple of
**10**found in step 2 to find the numerator of the fraction.

Then:**0.875 X 1,000**=**875**which is now the numerator of the fraction in inches. - As denominator put the multiple of 10 found in step 2.

Then:**875/1,000** - Simplify the previous fraction as much as possible:
**875/1,000;**if you take the fifth part (divide by 5) in the numerator and denominator =**175/200**you can still simplify further:**175/200**; if you take the fifth part (divide by 5) in the numerator and denominator =**35/40**you can still simplify further:**35/40**; if you take the fifth part (divide by 5) in the numerator and denominator =**7/8**you can’t simplify any further.

We have reached the end of the simplification or reduction of the fraction, so we have also finished operating, so finally:

**0.875** in. is equivalent to **875/1,000** and is in turn equivalent to: **7/8 in.**

You may also be interested in: **How to convert millimeters to known fractions of inches.**

## Part 2. Convert Fractions of an Inch to Thousandths of an Inch.

This case is very simple, just take the numerator of the fraction and divide either by hand or with a normal calculator by the denominator of the fraction.

**Example:**

Convert to thousandths of an inch the following fraction:

**3/4 in.**

Then take the numerator **3** and divide it by the denominator **4**, the result is: **0.750** in.

When the fraction is a mixed number, that is, when the fraction is accompanied by a whole number, then we only work with the fraction and in the end we add the whole number, like this:

Convert to thousandths of an inch the following fraction: **3 5/16 in.**

Then we only work with the fractional number: **5** divided by **16** = **0.3125** and then add the integer of the fraction which is **3**, then:

**3 + 0.3125** = **3.3125 in.**

Well friends, with this I come to the end of this article, about **How to Convert Thousandths of an Inch to Fractions of an Inch**, I hope you liked it and found it useful, and as always, if you liked this information, please remember to rate this post with the highest score in the stars below.

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