How do you simplify a fraction?

You find the largest number that divides evenly into both the numerator and the denominator. For 75/100, the largest divisor is 25. 75÷25=3 and 100÷25=4, so the simplified fraction is 3/4.

Can it convert repeating decimals?

Standard conversion works for terminating decimals. For repeating decimals (like 0.333...), the math is different (x = 0.333..., 10x = 3.333..., 9x = 3, x = 3/9 = 1/3). This tool primarily handles terminating decimals.

What about numbers greater than 1?

These become 'Mixed Numbers'. For example, 1.5 becomes 1 and 5/10, which simplifies to 1 1/2. As an 'Improper Fraction', it is 3/2.

Decimal to Fraction Calculator | Convert Decimals to Fractions | Finmato

Precision Over Approximation

Decimals are great for money, but they can be messy for building things. Trying to measure "0.375 inches" on a standard tape measure implies guesswork. Converting that number to "3/8 inch" gives you an exact mark to hit. Our Decimal to Fraction Calculator restores the elegance of ratios to your numbers, automatically finding the simplest form so you don't have to do the mental math.

How the Conversion Works

Every terminating decimal is just a fraction waiting to be discovered. The secret lies in the place value.

Tenths Place

0.x → x/10
One decimal digit means you divide by 10.
0.7 = 7/10

Hundredths Place

0.xx → xx/100
Two decimal digits means you divide by 100.
0.25 = 25/100 = 1/4

Thousandths Place

0.xxx → xxx/1000
Three decimal digits means you divide by 1000.
0.125 = 125/1000 = 1/8

Why Simplify?

Technically, 0.50 equals 50/100. But if you asked a carpenter for "fifty one-hundredths of an inch," they would look at you like you were crazy.

Simplification makes communication efficient. "One Half" (1/2) is easier to say, write, and visualize than 50/100. This tool automatically performs the GCD (Greatest Common Divisor) calculation to give you that cleanest possible number.

Construction Plans

CAD software output says "4.4375 in". What does that look like on a ruler? Convert it to find out it is exactly 4 and 7/16 inches.

Baking Adjustments

Your digital scale says "0.75 lbs" of flour, but your recipe is in cups. Converting to fractions helps map weight to volume estimates.

Rate Calculations

Probability is often expressed as a decimal (0.20), but "1 in 5" is often more intuitive for humans to understand risk.

Frequently Asked Questions

Can every decimal be a fraction?

Not all. "Rational" numbers (like 0.5, 0.333...) can be fractions. "Irrational" numbers (like Pi or the square root of 2) proceed infinitely without a pattern and cannot be written as a simple fraction of two integers.

What is an Improper Fraction?

An improper fraction has a numerator larger than the denominator (e.g., 5/4). This is mathematically useful, but in daily life, we often convert it to a Mixed Number (1 1/4).

How precise is this calculator?

It is perfect for terminating decimals. For very long decimals (e.g. 0.12345678), it will find the fractional equivalent of that specific simplified number, which might be an approximation of a complex irrational value.

Educational Use

This tool is designed for quick conversions and homework help. It assumes standard base-10 terminating decimal logic.

Data Privacy

We do not store your calculations. This tool runs entirely in your browser.

Decimal to Fraction