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Fraction to Percent

Fraction to Percent

Enter a raw score as mark over total and read the grade percentage below it, with four decimals kept for totals that never divide evenly.

Turn a Raw Score Into the Percentage on the Report

Marking finishes with a pile of raw scores: 18 out of 25, 34 out of 40, 7 out of 8. The gradebook wants a percentage, the parent email wants a percentage, and the student standing at your desk wants to know whether 43 out of 50 was good. Type the score as a fraction here and the percentage lands in the field below before you have finished saying the number out loud.

It also removes the quiet source of marking errors — the mental shortcut. Eighteen out of twenty-five feels like it should be somewhere near three quarters, and it is not: it is 72%, a full three points lower.

The arithmetic: divide the mark by the total, then multiply by 100. 18/25 is 18 ÷ 25 = 0.72, and 0.72 × 100 = 72% — a C- on the usual American ten-point scale.

Quizzes With Odd Totals

Tests out of 40, 24 or 15 do not divide into anything memorable. Those are exactly the totals where a converter beats guessing at the halfway mark.

Gradebook Columns

Most gradebooks want a percentage per assessment so that unequal totals can be averaged fairly. Converting first keeps a 40-mark essay from outweighing a 10-mark quiz.

Class and Cohort Splits

Nineteen of twenty-four students handing work in on time is 79.1667% — the number that belongs in a department report, rather than the raw count.

Marking a Set of Papers With This Converter

1

Enter the mark over the total

Type the score achieved, a slash, then the maximum: 18/25. The field takes digits and the slash only, so there is nothing to clear between papers except the numbers themselves.

2

Read the percentage

The lower field fills in as you type and shows a percent sign beside it. Whole percentages appear plainly — 34/40 gives 85 — while awkward divisions carry up to four decimals.

3

Copy it into the gradebook

The copy button on the percentage field puts the value on the clipboard with the percent sign already attached, so it pastes into a comment or a spreadsheet cell without extra typing.

4

Work back from a target grade

The arrow button opens the percent-to-fraction page with the current percentage loaded, which is how you find out what share of the marks a student needs to reach a boundary.

Order matters. The mark goes on top and the total underneath. Typing 25/18 instead of 18/25 gives 138.8889%, which is a useful sanity check: any result over 100 on a normal test means the fraction went in upside down.

Raw Marks Over Common Test Totals

Totals of 20, 25, 40 and 50 dominate classroom assessment because they scale to a percentage without much thought. Totals of 6, 12, 15 and 24 come from rubrics and do not. Below is what this page returns for a spread of both, with the letter band most American ten-point scales would assign.

Raw markPercentage shownTypical letter band
2/366.6667%D
18/2572%C-
3/475%C
19/2479.1667%C+
5/683.3333%B
34/4085%B
43/5086%B
13/1586.6667%B
7/887.5%B+
9/1090%A-
11/1291.6667%A-

Letter boundaries differ between districts and between departments in the same school, so treat the third column as the common case rather than a rule. The percentages themselves are fixed: 43 out of 50 is 86% wherever it is marked.

Four Decimals for Awkward Totals

Divisions that never resolve are carried to four places, so a mark out of 12 shows as 91.6667% instead of being flattened to a whole number too early.

Bonus Marks Still Convert

A score above the maximum is handled like any other fraction, so 27/25 with extra credit reads as 108% rather than being rejected.

Percent Sign Travels With the Copy

Copying from the percentage field brings the sign along, so a pasted result reads as a grade in a comment box rather than a bare number.

Grade Sheet Beside the Field

A short reference list sits under the converter with the marks that come up most in classroom totals, for the times you want a check rather than a calculation.

Grading Questions About Percentages

Why does 2/3 come out as 66.6667% rather than 66.67%?

Because two thirds is a repeating value. Dividing 2 by 3 gives 0.6666… with the six carrying on forever, and no number of decimal places will ever finish it. The percentage is therefore cut off at four places and the last digit rounded up, giving 66.6667%. One third behaves the same way in the other direction, ending in 33.3333% with the final digit rounded down. Marks out of 6, 7, 9, 12 and 15 are the usual sources of these endless divisions.

Can a score above the total be converted?

Yes, and it is not treated as an error. A paper marked 27 out of 25 because of an extra-credit question converts to 108%. Nothing caps the result at 100, which is deliberate — plenty of assessments allow bonus marks, and silently clipping them would hide the very thing the teacher wanted to record.

Does the copy button include the percent sign?

It does. The percentage field copies as 85%, sign attached, which suits a written comment or a printed report. If you are pasting into a spreadsheet column formatted as a number, strip the sign after pasting or the cell may read the value as text.

How should I round 79.1667% for a report card?

Round once, at the end, and to whatever your reporting system stores — usually a whole number, so 79. Rounding early is what causes trouble: if you record 79 and later average it with other rounded marks, the errors accumulate. Keep the four-decimal figure in the working column and let the final average be the thing that gets rounded, especially near a boundary where a tenth of a point moves a letter.

Can I send a colleague a link with the score already filled in?

Yes. The page reads a value from the address bar and loads it into the input, then tidies the address afterwards, which is the same mechanism the arrow button uses when it hands your number to the reverse page. Sharing the plain link works just as well — a mark takes two seconds to retype, and there is nothing stored on either end.

e.g., 1/2, 3/4, 5/8
e.g., 50%, 75%, 125%
%

Classroom Marks as Percentages

2/3 = 66.6667%
18/25 = 72%
34/40 = 85%
43/50 = 86%
7/8 = 87.5%
9/10 = 90%

Raw Mark

The score as it was actually earned, mark over total. Honest about the assessment, but impossible to compare across papers with different maximums.

Grade Percentage

The same score rebased onto 100 so a quiz out of 12 and an essay out of 40 sit on one scale and can be averaged without weighting tricks.

Enter the mark over the total, such as 18/25 for 72%
7/8 = 87.5%
Repeating results keep four decimals, so 5/6 shows 83.3333%
Copying the percentage brings the % sign with it
Want to learn more? Read documentation →
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