Inches to Fraction Calculator
An inches to fraction calculator is designed to convert decimal measurements in inches to their equivalent fractional.
0.5 is equivalent to 50/100. Simplify this by dividing the numerator and denominator by their greatest common divisor (50).
50/100 = 1/2
0.5 inches is 1/2 inch.
Common Fractions:
- 1/2 inch is the simplest fraction, representing half an inch.
- 1/4 inch represents a quarter of an inch.
- 1/8 inch represents one-eighth of an inch.
- 1/16 inch represents one-sixteenth of an inch.
Inches to Fraction Conversion Formula
The general formula is:
Fractional Inches = Decimal Inches × Denominator / Numerator
Where:
- Decimal Inches is the measurement in decimal form
- Denominator is the bottom number of the fraction
- Numerator is the top number of the fraction
Convert the decimal to a fraction:
Write the decimal as a fraction with a denominator of 1,000 (or another power of 10 if needed).
Simplify the fraction:
Divide both the numerator and denominator by their greatest common divisor to simplify.
Convert to a common fraction if necessary:
Express the fraction in terms of common fractions (1/2, 1/4, 1/8, etc.) if needed for ease of understanding or practical use.
More Calculator:
How do you convert inches into fractions?
Converting inches to fractions involves several steps:
- Multiply the decimal number by the desired denominator (often 16, 32, or 64 for inch measurements).
- Round the result to the nearest whole number.
- Use this whole number as the numerator over the chosen denominator.
- Simplify the fraction if possible by dividing both the numerator and denominator by their greatest common divisor.
For example, to convert 0.75 inches to a fraction:
- Choose a denominator (let’s use 16): 0.75 × 16 = 12
- The fraction is 12/16
- Simplify by dividing both numbers by 4: 3/4
Thus, 0.75 inches is equivalent to 3/4 inch.
What is 1.1 inches as a fraction?
Let’s convert 1.1 inches to a fraction:
- 1.1 × 16 = 17.6
- Round to 18
- The fraction is 18/16
- Simplify: 9/8
1.1 inches is equivalent to 9/8 inches.
What is 1.85 inches as a fraction?
Converting 1.85 inches:
- 1.85 × 16 = 29.6
- Round to 30
- The fraction is 30/16
- Simplify: 15/8
1.85 inches is equivalent to 15/8 inches.
What is .2 inches as a fraction?
For 0.2 inches:
- 0.2 × 16 = 3.2
- Round to 3
- The fraction is 3/16
In its simplest form, so 0.2 inches is equivalent to 3/16 inch.
What is .190 inches as a fraction?
Converting 0.190 inches:
- 0.190 × 32 = 6.08 (using 32 as the denominator for more precision)
- Round to 6
- The fraction is 6/32
- Simplify: 3/16
0.190 inches is equivalent to 3/16 inch.
Inches to Fraction Conversion Table
Decimal Inches | Fraction (Simplified) | Fraction (32nds) |
---|---|---|
0.25 | 1/4 | 8/32 |
0.5 | 1/2 | 16/32 |
0.375 | 3/8 | 12/32 |
0.625 | 5/8 | 20/32 |
0.8125 | 13/16 | 26/32 |
0.9375 | 15/16 | 30/32 |
1.125 | 1 1/8 | 1 4/32 |
1.3125 | 1 5/16 | 1 10/32 |
1.75 | 1 3/4 | 1 24/32 |
2.0625 | 2 1/16 | 2 2/32 |