Fraction to Decimal Converter

Divide the top number by the bottom number. For example, 3/4 = 3 divided by 4 = 0.75. Common fractions: 1/2 = 0.5, 1/4 = 0.25, 1/3 = 0.333, 1/8 = 0.125, 3/8 = 0.375.

Numerator (for /4)

Decimal

Key Takeaways

Divide numerator by denominator: 3/4 = 3 / 4 = 0.75.
Common: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/8 = 0.125.
Repeating: 1/3 = 0.333..., 2/3 = 0.666..., 1/6 = 0.1666...
To convert to percent, multiply the decimal by 100: 0.75 = 75%.
Construction fractions: 1/16 = 0.0625, 3/16 = 0.1875, 5/16 = 0.3125.

How Do You Convert Fractions to Decimals?

Divide the numerator (top number) by the denominator (bottom number). The formula is: Decimal = Numerator / Denominator. For example, 7/8 = 7 / 8 = 0.875. For mixed numbers, first convert to an improper fraction or add the whole number to the fractional decimal.

Dana Kowalski works with fractional inches daily. A measurement of 5 and 3/8 inches needs to be entered into her design software as a decimal. She converts: 3/8 = 3 / 8 = 0.375, so the measurement is 5.375 inches. Getting this wrong by even 1/16 of an inch (0.0625) can mean a cabinet door that does not close properly.

Fraction to Decimal Reference Chart

Fraction	Decimal	Percent
1/16	0.0625	6.25%
1/8	0.125	12.5%
3/16	0.1875	18.75%
1/4	0.25	25%
5/16	0.3125	31.25%
1/3	0.3333...	33.33%
3/8	0.375	37.5%
1/2	0.5	50%
5/8	0.625	62.5%
2/3	0.6666...	66.67%
3/4	0.75	75%
7/8	0.875	87.5%
15/16	0.9375	93.75%

Source: Standard mathematical conversion.

When You Need This Conversion

Construction and Woodworking

Tape measures use fractions (1/16, 1/8, 1/4 inch), but CNC machines and design software require decimals. Dana memorizes the eighths (0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875) because they come up in nearly every project. For sixteenths, she halves the eighth values.

Cooking and Baking

Scaling recipes requires converting fractions to decimals. If Leah needs to make 1.5 times a recipe calling for 2/3 cup of sugar, she converts: 2/3 = 0.667, then 0.667 x 1.5 = 1.0 cup. Working in decimals makes multiplication cleaner than trying to multiply fractions directly (2/3 x 3/2 = 1, but that is harder to reason about quickly).

Finance and Shopping

Stock prices were historically quoted in fractions (like 25 and 3/8). Since 2001, US stocks use decimal pricing, but understanding the conversion helps with older financial data. Bond prices are still sometimes quoted in 32nds: a bond at 99-16 means 99 and 16/32 = 99.5% of face value.

Frequently Asked Questions

How do I convert a fraction to a decimal?

Divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 divided by 4 = 0.75. For mixed numbers like 2 1/2, convert to an improper fraction first: (2 x 2 + 1) / 2 = 5/2 = 2.5.

What is 1/3 as a decimal?

1/3 as a decimal is 0.3333... (repeating). This is a non-terminating decimal because 3 does not divide evenly into 10. Common repeating decimals: 1/3 = 0.333..., 2/3 = 0.666..., 1/6 = 0.1666..., 1/7 = 0.142857142857... (repeating).

What is 3/8 as a decimal?

3/8 = 0.375. This is a common fraction in construction and cooking. Other eighths: 1/8 = 0.125, 2/8 = 0.25, 4/8 = 0.5, 5/8 = 0.625, 6/8 = 0.75, 7/8 = 0.875.

How do I convert a decimal to a fraction?

Count the decimal places to determine the denominator. 0.75 has 2 decimal places, so it is 75/100. Simplify by dividing both by 25: 75/100 = 3/4. For repeating decimals like 0.333..., the fraction is 1/3.

What is the difference between terminating and repeating decimals?

Terminating decimals have a finite number of digits (like 0.75 or 0.125). Repeating decimals have digits that repeat infinitely (like 0.333... or 0.142857...). A fraction produces a terminating decimal only if its denominator (when fully reduced) has no prime factors other than 2 and 5.