Trainers

Mental arithmetic

Fractions to Decimals

Drill fraction-to-decimal conversions until they are instant. It is a core mental-math skill tested across quant trading interviews. Practice mode takes the fractions one at a time with the answer after each; the test is 1, 2, 5 or 10 minutes on the clock at 5 decimal places, as many as you can.

Settings

Save
Mode
Test

One fraction at a time, no clock. After each answer the boxes roll to the exact expansion and show the digit that decided the rounding, then you move on.

Decimal places
235

Keep score of every fraction.

A free account keeps a record of each fraction you answer, with the time it took.

Frequently asked questions

What is practice mode?
Practice mode shows one fraction at a time with no clock. Answer, and the boxes roll to the exact expansion and show the digit that decided the rounding before you move on. Four decimal places is free for everyone; 2, 3 and 5 decimal places are part of Tradermath Premium. It is the place to build the recall you then put under the clock in the test.
How does the Fractions to Decimals test work?
You pick the clock, 1, 2, 5 or 10 minutes, and get a stream of fractions. For each one, work out the decimal rounded to 5 decimal places and type the 5 digits (a leading "0." is filled in for you). A right answer is +1, a wrong one is -2. Your score is the net total when the clock runs out. The test is part of Tradermath Premium.
Why does a wrong answer cost two points?
Fast and right is what impresses in an interview. Fast and wrong does the opposite, so get them right first and let the speed come. The scoring makes guessing a losing strategy: take the extra second to be sure.
Do I round or cut off the last digit?
Round. 1/14 is 0.0714285…, so to five decimal places it is 0.07143, not 0.07142. In practice mode the reveal shows the digit past the rounding point being spent, so you can see why the last digit went up.
Why is converting fractions to decimals useful for trading interviews?
Fraction-to-decimal conversion is a core mental-math skill tested by many proprietary trading firms. Being able to instantly estimate values like 7/16 or 5/13 helps with pricing, probability and quick estimation under time pressure on the trading desk.
How can I improve my conversion speed?
Memorise the common fractions (halves, quarters, eighths, sixteenths and the reciprocals of small primes), then practise estimating the rest by long division in your head. Short, frequent sessions build recall far faster than occasional long ones, so aim for a few sessions a week.

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.