Decimal to Fraction Converter

Write the decimal over a power of 10 and simplify. 0.75 = 75/100 = 3/4. Common conversions: 0.5 = 1/2, 0.25 = 1/4, 0.125 = 1/8, 0.375 = 3/8, 0.625 = 5/8.

Decimal (x4 for quarters)

Result

Key Takeaways

0.5 = 1/2, 0.25 = 1/4, 0.75 = 3/4, 0.125 = 1/8.
Count decimal places: 0.75 has 2 places = 75/100, simplify to 3/4.
Construction eighths: 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875.
Sixteenths: 0.0625 = 1/16, 0.1875 = 3/16, 0.3125 = 5/16.
Repeating decimals: 0.333... = 1/3, 0.666... = 2/3, 0.1666... = 1/6.

How Do You Convert Decimals to Fractions?

Follow three steps: (1) Write the decimal as a fraction over a power of 10. (2) Find the greatest common factor (GCF) of the numerator and denominator. (3) Divide both by the GCF. For example: 0.375 = 375/1000. GCF of 375 and 1000 is 125. So 375/125 = 3, 1000/125 = 8. Result: 3/8.

Dana Kowalski reads a blueprint dimension as 2.4375 inches. She needs to mark this on a tape measure that shows sixteenths. Converting the decimal part: 0.4375 = 4375/10000 = 7/16. So the measurement is 2 and 7/16 inches — a fraction she can easily find on her tape measure.

Decimal to Fraction Reference Chart

Decimal	Fraction	Sixteenths
0.0625	1/16	1/16
0.125	1/8	2/16
0.1875	3/16	3/16
0.25	1/4	4/16
0.3125	5/16	5/16
0.333...	1/3	~5.3/16
0.375	3/8	6/16
0.4375	7/16	7/16
0.5	1/2	8/16
0.5625	9/16	9/16
0.625	5/8	10/16
0.6875	11/16	11/16
0.75	3/4	12/16
0.8125	13/16	13/16
0.875	7/8	14/16
0.9375	15/16	15/16

Source: Standard mathematical conversion.

Construction and Measurement Applications

Reading Digital Tools

Digital calipers and CNC machines display measurements in decimals, but drill bits and fasteners are sold in fractions. Dana's caliper reads 0.3125 inches — that is 5/16. She grabs the 5/16-inch drill bit. Memorizing the sixteenths chart saves her from calculating every time.

Scaling Recipes

When scaling a recipe by 1.5x, a 2/3 cup measurement becomes 2/3 x 1.5 = 1.0 cup. But a calculator shows 0.6667 when you enter 2/3. Knowing that 0.6667 is approximately 2/3 prevents confusion. Many bakers prefer weighing ingredients in grams to avoid fraction headaches entirely.

Financial Calculations

Interest rates like 5.75% translate to the fraction 23/400 (5.75/100 = 575/10000 = 23/400). While nobody works with interest rates as fractions, understanding the relationship helps verify calculations. A 4.375% bond coupon is 4 and 3/8 percent — the same fraction pattern used in construction measurements.

Frequently Asked Questions

How do I convert a decimal to a fraction?

Write the decimal over a power of 10 based on decimal places, then simplify. 0.75 = 75/100 = 3/4 (divide both by 25). 0.125 = 125/1000 = 1/8 (divide both by 125). For repeating decimals like 0.333..., the fraction is 1/3.

What is 0.625 as a fraction?

0.625 = 625/1000 = 5/8. This is a common measurement fraction used in construction (5/8 inch). Other common conversions: 0.125 = 1/8, 0.25 = 1/4, 0.375 = 3/8, 0.5 = 1/2, 0.75 = 3/4, 0.875 = 7/8.

What is 0.333 as a fraction?

0.333 (terminating) is approximately 333/1000, but the repeating decimal 0.333... is exactly 1/3. If you see 0.33 or 0.333 in a calculation, it was likely rounded from 1/3. The exact fraction depends on how many decimal places you use.

How do I convert 0.1875 to a fraction?

0.1875 = 1875/10000 = 3/16. This is a standard measurement fraction. To simplify, find the greatest common factor of 1875 and 10000 (which is 625): 1875/625 = 3 and 10000/625 = 16, giving 3/16.

Can all decimals be converted to fractions?

Yes. Every terminating decimal and every repeating decimal can be expressed as a fraction (rational number). However, irrational numbers like pi (3.14159...) and the square root of 2 (1.41421...) have non-repeating, non-terminating decimals that cannot be expressed as fractions.