Fraction to Percent: How to Convert Any Fraction (With Examples)

A percent is simply a fraction with a denominator of 100. The word percent means per hundred, so 75 percent means 75 out of every 100. That single idea is the key to every fraction conversion: once you know how many parts out of 100 your fraction represents, you have the percentage. Below are two reliable methods, a worked example you can copy, a quick reference chart and the small mistakes that trip most people up.

Method 1: divide, then multiply by 100

This method works for every fraction, even ugly ones that do not divide neatly into 100. The numerator is the top number and the denominator is the bottom number. Divide the top by the bottom to turn the fraction into a decimal, then move the decimal two places to the right (which is the same as multiplying by 100).

If you can already turn a fraction into a decimal, you are most of the way there. If percentages of a number are what you really need, our percentage guide covers that too, but for converting a fraction you only ever need to divide and shift the decimal point.

Method 2: scale the fraction to a denominator of 100

When the denominator divides evenly into 100, this method is faster and needs no long division. Find what you multiply the denominator by to reach 100, then multiply the numerator by that same number. The new numerator is your percentage.

• For 7/20: 20 times 5 equals 100, so multiply 7 times 5 to get 35. The answer is 35 percent.
• For 9/25: 25 times 4 equals 100, so 9 times 4 is 36. The answer is 36 percent.
• For 1/2: 2 times 50 equals 100, so 1 times 50 is 50. The answer is 50 percent.

Both methods give identical answers. Use scaling for friendly denominators like 2, 4, 5, 10, 20, 25 and 50, and fall back to dividing for anything that does not reach 100 cleanly, such as 1/3 or 5/7.

So which should you use? Reach for Method 2 (scaling) when the denominator divides evenly into 100, because it needs no long division and can often be done in your head. Use Method 1 (divide, then multiply by 100) for every other fraction, since it always works. When in doubt, Method 1 is the safe default.

It helps to understand why scaling works at all. Multiplying the top and bottom of a fraction by the same number does not change its value, it only changes how it is written. So 7/20 and 35/100 are the same quantity, just expressed with a different denominator. Because a percent is defined as a number out of 100, the moment your denominator is 100 the numerator is the percent with no further work. Method 1 reaches the same place by a different road: dividing the numerator by the denominator gives the value as a decimal out of 1, and multiplying by 100 rescales that to a value out of 100.

A worked example, step by step

Suppose you scored 18 out of 24 on a quiz and want the result as a percent. The fraction is 18/24. Here is the full conversion using Method 1.

1. Write the fraction with the part on top and the whole on the bottom: 18/24.
2. Divide the numerator by the denominator: 18 divided by 24 equals 0.75.
3. Multiply the decimal by 100: 0.75 times 100 equals 75.
4. Add the percent sign: the score is 75 percent.

Notice that 18/24 simplifies to 3/4, which is exactly the example from the quick answer. Simplifying first is optional, but it often turns an awkward fraction into one you recognise instantly. If you find yourself comparing two values rather than converting one, our guide to percent difference walks through that closely related calculation.

How do you convert mixed numbers and improper fractions?

To convert a mixed number to a percent, turn the whole part into 100 percent per whole and add the percent of the fractional part. To convert an improper fraction, just divide the top by the bottom and multiply by 100, exactly as with any other fraction.

A mixed number has a whole part and a fractional part, like 1 1/2. Convert the whole part to its own percentage (each whole equals 100 percent) and add the percentage of the fractional part. So 1 1/2 means 100 percent plus 50 percent, which equals 150 percent. Percentages above 100 are perfectly normal whenever a fraction is greater than 1.

An improper fraction, where the top is larger than the bottom, works the same way with Method 1. For 5/4, divide 5 by 4 to get 1.25, then multiply by 100 for 125 percent. You do not need to convert it to a mixed number first unless you prefer to.

Fraction to percent conversion chart

Memorising a handful of common conversions makes mental maths much faster. Here are the ones worth knowing by heart.

Common mistakes to avoid

• Dividing the wrong way. Always divide the numerator by the denominator, not the other way around. For 3/4 that is 3 divided by 4, not 4 divided by 3.
• Forgetting to multiply by 100. A decimal like 0.75 is not the percent. You must multiply by 100 to get 75 percent. Leaving it as 0.75 percent is a hundred times too small.
• Mishandling repeating decimals. Fractions like 1/3 give 0.333... and round to about 33.3 percent. State your rounding rather than dropping digits silently.
• Ignoring the whole part of a mixed number. With 1 1/2 you must add the 100 percent from the whole, giving 150 percent, not just 50 percent.

Where fraction to percent conversion is used

Converting fractions to percents is one of the most common everyday maths tasks, because percents are easier to compare at a glance than raw fractions. Here are situations where it shows up often.

• Test and quiz scores. A mark of 18 out of 24 means little until you see it is 75 percent.
• Discounts and sales. A shop taking 1/4 off is offering 25 percent off, which is easier to reason about.
• Recipes and mixing. Knowing that 3/8 of a mixture is 37.5 percent helps when scaling ingredients up or down.
• Statistics and reports. Survey results are almost always shown as percents so different sample sizes can be compared fairly.
• Finance and interest. Rates and shares are quoted as percents, so a fraction like 3/50 becomes a clear 6 percent.

Percent, decimal and fraction are three views of the same value, so you can switch between them freely. To go the other direction, drop the percent sign and divide by 100 to get a decimal, then write it over a power of ten and simplify. Understanding the relationship makes word problems far less intimidating, and it carries over into related topics like percent change where the same divide-and-multiply logic applies.

Convert a fraction to a percent instantly

Once the method clicks, a calculator saves time and removes the chance of a slip on long division. The tool below converts any fraction, including mixed numbers and improper fractions, and shows the decimal step along the way.

Whether you reach for division, scaling or the chart above, every fraction has one correct percent. Convert the fraction to a decimal, multiply by 100, and you are done. Keep the common values memorised, watch the four mistakes above, and you will handle fraction to percent questions confidently in any context, from test scores to recipes to finance.