Fraction to Percentage Converter | Free Math Utility

What this converter does

A fraction is one way to express a part of a whole; a percentage is another. They mean the same thing — 3/4 and 75% describe the same proportion — but each form is convenient in different contexts. Tests and grades love fractions; sales tags and survey results love percentages.

This tool moves between the two in both directions, handles mixed numbers like 1 ¾, shows you the simplified fraction (greatest common divisor reduction), gives you the decimal equivalent, and walks through the step-by-step math. The doughnut chart on the right shows the value as a proportion of a whole — useful when the number alone is hard to feel intuitively (is 5/16 closer to a quarter or a half? Look at the slice).

How to convert a fraction to a percentage

Three steps. The calculator does it instantly; understanding the steps lets you check the result by hand.

• Step 1 — divide. Divide the numerator (top) by the denominator (bottom). For 3/4: 3 ÷ 4 = 0.75.
• Step 2 — multiply by 100. 0.75 × 100 = 75.
• Step 3 — add the % sign. Final answer: 75%.

Mixed numbers work the same way. 1 ¾ becomes (1 × 4 + 3) / 4 = 7/4 = 1.75 = 175%.

How to convert a percentage to a fraction

Two steps, plus simplification.

• Step 1 — put it over 100. 60% → 60/100. The "per cent" part literally means "per hundred."
• Step 2 — simplify. Find the greatest common divisor (GCD) of numerator and denominator and divide both by it. GCD(60, 100) = 20, so 60/100 = 3/5.

For decimal percentages like 12.5%: multiply both sides by 10 first to clear the decimal — 12.5/100 = 125/1000, then simplify by GCD = 125 to get 1/8.

Common equivalents — memorise these

These come up constantly. Once they're in muscle memory, you'll do a lot of conversions without reaching for a calculator.

† repeating decimal, rounded for display.

Real-world uses

• Shopping. A "1/4 off" sale is a 25% discount. Knowing this in your head saves you from getting tricked by deliberately confusing tags.
• Grades and scores. 18 out of 20 is 18/20 = 90%. Test scores convert directly. So do survey responses ("3 out of 5 dentists" = 60%).
• Tipping by halves. 1/10 of the bill = 10%. Double it = 20%. The mental model is fractional even if the result is a percentage.
• Recipes and scaling. A recipe for 4 that you want to make for 6: scale every ingredient by 6/4 = 1.5 = 150%. Mixed numbers and improper fractions are how kitchen math works.

Five mistakes that trip people up

• Forgetting to multiply by 100. Writing 0.75 instead of 75% is the single most common error. The × 100 step turns the decimal into the percentage; without it, you're reporting the decimal.
• Confusing improper fractions with mixed numbers. 7/4, 1 3/4, and 1.75 are all the same number. The calculator handles all three forms — but if you input 1 3/4 as numerator 1, denominator 3, denominator 4 instead of using the whole-number field, you'll get the wrong answer.
• Rounding too aggressively. 1/3 is not 33% — it's 33.33…%. For a quick estimate, fine; for anything official (grades, percentages of money), use 2+ decimal places.
• Mixing bits and percent. A 50% increase doubles 1, but 50% of 1 is 0.5. Same number, very different operation. Watch the preposition: "50% of" vs "50% increase".
• Treating percent as a unit. Percent is just a number. 15% is 0.15. You can add and subtract percentages directly only when they refer to the same whole. Two store discounts of "10% off" stacked together is 19% off, not 20% — because the second 10% is taken off the already-reduced price.

Frequently asked questions