# HP Forums

Full Version: Rounding to the Nearest Reciprocal
You're currently viewing a stripped down version of our content. View the full version with proper formatting.
The program ROUNDRCP rounds a number to the nearest 1/n. This function can come in handy in several applications, for example, when working with construction or measuring, when have to round results to the nearest eighth (1/8), inch (1/12) or sixteenth (1/16).

Code:
```EXPORT ROUNDRCP(a,n) BEGIN // Round a to the nearest 1/n // 2017-11-21 EWS LOCAL w; w:=FP(ABS(a))*n; w:=ROUND(w,0); RETURN IP(a)+SIGN(a)*(w/n); END;```

Round π to the nearest 1/4:
ROUNDRCP(π, 4): 3.25 = 13/4

Round e^2 to the nearest 1/100:
ROUNDRCP(e^2, 100): 7.39 = 739/100

Round 1/4 + 2/7 + 3 1/3 to the nearest 1/16:
ROUNDRCP(1/4 + 2/7 + 3 + 1/3, 16): 3.875 = 31/8
This is exactly the case that fits into user defined functions (when they will remember the variables checkboxes).

PHP Code:
`IP(A)+SIGN(A)*ROUND(FP(ABS(A))*N,0)/N `

[attachment=5363]

Otherwise, very nice utility, Eddie!
(11-28-2017 05:04 AM)chromos Wrote: [ -> ]...very nice utility, Eddie!

yes, thanks Eddie!

Salvo
Thank you Chromos and Salvo!
(11-28-2017 05:04 AM)chromos Wrote: [ -> ]
PHP Code:
`IP(A)+SIGN(A)*ROUND(FP(ABS(A))*N,0)/N `

I do not own a Prime, so this may be a very dumb question, but is there a special reason why this can't be done with a simple ROUND(A*N,0)/N ?

Dieter
Reference URL's
• HP Forums: https://www.hpmuseum.org/forum/index.php
• :