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Overs notation · 16.4 = 100 balls

Overs to balls converter

In cricket, 16.4 overs means 16 overs and 4 balls, which is why ordinary decimal maths goes wrong. Convert overs, balls and decimal overs into each other, and add or subtract overs the way a scorer does.

ConvertType in any box
Balls per over

Overs16.4scoreboard notation
Balls1006-ball overs
Decimal overs16.667= 16 ⅔

16.4 overs is 16 overs and 4 balls: 16 × 6 + 4 = 100 balls, or 16.667 overs as a decimal.

Add & subtract oversBalls carry at the over

Use + and −. Commas or new lines between overs add them up, for a bowler's spells or a list of partnerships.

Answer8.1overs
Balls49
Decimal overs8.167
Each term in balls
SignOversBalls
4.428
+3.321
=8.149

Adding the overs figures as ordinary decimals would give 7.7, which is wrong: balls carry into overs at 6, not 10.

Why 4.4 + 3.3 is 8.1

An over is six legal balls. Scorers write overs as whole overs, a dot, then the balls bowled in the over that is under way, so the digit after the dot runs from 0 to 5 and never reaches 6: the ball after 16.5 makes it 17 overs. That makes the dot a separator, not a decimal point.

To do sums, turn everything into balls first: overs × 6 + balls. 4.4 is 28 balls and 3.3 is 21, so together they are 49 balls, which is 8 overs and 1 ball, written 8.1. Adding them as decimals gives 7.7, an impossible figure. Subtraction works the same way: 50 overs less 32.4 is 300 − 196 = 104 balls, or 17.2 overs left.

Decimal overs are what rate sums need. Each ball is a sixth of an over, so 16.4 overs is 16⅔, or 16.667. Run rates, economy rates and net run rates all divide by this figure, never by 16.4. Going the other way, a spreadsheet's 16.67 is 100 balls, which a scoreboard shows as 16.4.

Six-ball overs have been used in all Test cricket since 1979/80. Before that, Australia, New Zealand, South Africa and, for a time, England and Pakistan used eight-ball overs, so old scorecards from those countries may show figures like 22.7. Switch to 8 balls to convert them.

Sources

Questions

How many balls are in 20 overs?

120, not counting wides and no-balls, which are bowled again. A 50-over innings is 300 balls and a 10-over innings is 60.

Is 16.5 overs the same as 16½ overs?

No. 16.5 overs is 16 overs and 5 balls, which is 101 balls or 16.833 decimal overs. Half an over is 3 balls, so 16½ overs is written 16.3.

What does the converter do with a decimal like 16.7?

16.7 decimal overs is 100.2 balls, which can't happen, so it rounds to the nearest ball (100, or 16.4) and says so. In the Overs box, 16.7 is rejected: after the dot only 0 to 5 are allowed.