What is .875 in inches?

Converting between decimal and fraction forms of measurements is an essential math skill for many technical and scientific fields. Inches, feet, meters, and other units are often expressed in either decimal or fractional notation depending on the context and required precision. In this post, we’ll focus specifically on converting the decimal measurement 0.875 inches into fraction form. We’ll break down the conversion process step-by-step and also discuss strategies for interconverting decimals and fractions fluently.

What is .875 in inches?

0.875 inches is equal to 7/8 inches. It can also be expressed as 0.875 inches is 7/8 of an inch or 22.225 millimeters when converted to the metric system.

Here’s a table that shows the equivalent of 0.875 inches in different units of measurement:

Unit of Measurement	Equivalent to 0.875 inches
Inches	0.875 inches
Feet	0.07292 feet
Yards	0.02431 yards
Millimeters	22.225 millimeters
Centimeters	2.2225 centimeters
Meters	0.02223 meters
Decimeters	0.2223 decimeters
Kilometers	0.00002223 kilometers

Decimal and Fraction Review First, let’s review the key concepts that relate decimals and fractions:

• Decimals express values using place holders to the right of a decimal point.
• Fractions represent values as a numerator over a denominator.
• Fractions can be converted to decimals by dividing numerator by denominator.
• Decimals can be changed to fractions based on place value relationships.
• Measurements in decimals or fractions convey the same amount.

Keeping these relationships in mind, let’s convert our decimal inch measurement.

Converting 0.875 Inches to Fractions To change 0.875 inches to fractions:

1. Identify the decimal place values.
2. Set up a fraction matching the places.

0.875 inches = 7/8 inches

We put 8 in the denominator to match the thousandths place.

Explaining the Conversion

• 0.875 inches has three places after the decimal point: tenths, hundredths, thousandths.
• The denominator 8 represents the thousandths place.
• The numerator 7 is the digit value before the decimal point.
• Aligning the place values gives us the fraction form.

Strategies for Measurement Conversions

Some helpful strategies for conversions:

• Understand place value relationships thoroughly.
• Double check placements of the decimal point carefully.
• Confirm fraction and decimal amounts are equivalent.
• Use fraction-decimal conversion calculator tools if needed.
• Practice measurement units like inches in both forms.

FAQs

1. What is 875 inches in fraction? 875 inches can be expressed as the fraction 875/1, which is already in its simplest form.
2. What fraction is 0.87 inches? 0.87 inches can be expressed as the fraction 87/100. To simplify it further, you can divide both the numerator and denominator by their greatest common factor, which is 13, to get 87/100 in its simplest form as 87/100.
3. What is 0.825 as a fraction of an inch? 0.825 inches can be expressed as the fraction 33/40. This fraction cannot be simplified further.
4. Is .875 the same as 7/8? Yes, .875 is the same as 7/8. They are equivalent fractions.
5. What is 875 simplified? 875 is already in its simplest form as an integer.
6. What is 6/8 inch in decimal? 6/8 inch is equivalent to 0.75 inches in decimal form.
7. What is 8/32 inch in decimal? 8/32 inch is equivalent to 0.25 inches in decimal form. You can simplify this fraction to 1/4 inch.
8. What fraction is .85 of an inch? 0.85 inches can be expressed as the fraction 17/20. To simplify it further, you can divide both the numerator and denominator by their greatest common factor, which is 1, to get 17/20 in its simplest form.
9. What is the decimal for 8 1/4 inch? 8 1/4 inches is equivalent to 8.25 inches in decimal form.
10. What is 7/16 inch in decimal? 7/16 inch is equivalent to approximately 0.4375 inches in decimal form.
11. What is 5/8 inch as a decimal? 5/8 inch is equivalent to 0.625 inches in decimal form.
12. What is the fraction of 8.08 inches? 8.08 inches can be expressed as the fraction 202/25. This fraction is in its simplest form.

Conclusion

In this post, we showed how to systematically convert the decimal measurement 0.875 inches into the fraction 7/8 inches based on place value alignment. Explaining the thought process reinforces comprehension of translating between measurement form representations. Fluency with decimal and fraction conversions allows flexibility when working with dimensional measurements across many fields. Consistent practice builds intuition and skills for real-world decimal-fraction calculations and applications.