Shutter Speed Fraction to Decimal Converter

Convert fractional shutter speeds to decimal seconds and find the EV gap between two speeds.

Ad placeholder (leaderboard)

This converter turns camera shutter speeds between the fraction form on your dial (1/125, 1/4000) and plain decimal seconds, and it tells you how many stops separate any two speeds. It is the small piece of exposure arithmetic that ND-filter, bulb-timing, and flash-sync math all depend on.

How it works

A shutter speed is simply a length of time. The fraction 1/125 means 1 ÷ 125 = 0.008 seconds. The converter parses three input forms:

  • A fraction such as 1/250 becomes 1 ÷ 250 = 0.004 s.
  • A decimal such as 0.004 is used directly.
  • A whole number such as 30 is treated as 30 seconds.

To express any time back as a fraction, it inverts: 1 ÷ 0.004 = 250, so the result is 1/250.

Stops between two speeds

A “stop” is a doubling or halving of light, and shutter time scales light linearly, so the difference in stops between two times t1 and t2 is:

stops = log2(t1 / t2)

Going from 1/125 (0.008 s) to 1/500 (0.002 s) is log2(0.008 / 0.002) = log2(4) = 2 stops less light — exactly what you would gain back by opening two stops of aperture.

Worked example: a 6-stop ND filter

You meter a scene at 1/60 s and want a long exposure with a 6-stop ND filter. Each stop doubles the time, so multiply by 2^6 = 64:

1/60 s × 64 = 64 / 60 ≈ 1.07 s

So your shutter goes from 1/60 to about 1 second. The stop-difference tool confirms log2(1.07 / 0.0167) ≈ 6 stops, matching the filter rating.

Notes

Standard cameras step shutter speed in thirds of a stop along a fixed ladder (... 1/125, 1/160, 1/200, 1/250 ...). The tool snaps your value to the nearest real marking so a calculated in-between time maps to a setting you can actually dial in. Everything runs locally in your browser.

Ad placeholder (rectangle)