Fraction Approximation on Graphing Calculators
Comparisons
TINspire CAS iOS App: Fractional Approximations 
* TINSpire CAS iOS App:
this should be similar to the TINspire CAS handheld calculators, x→approxFraction(5.E14)
* Casio Classpad fxCP400: fractional approximation used by tofrac(approx(x))
* HP Prime (firmware 10077), pressing [a b/c] after the
number is entered
Square Root of 2, √2
Decimal Approximation

1.41421356237

TINSpire CAS

3,880,899/2,744,210

Casio Classpad fxCP400

13,250,218/9,369,319

HP Prime

114,243/80,782

Square Root of 3, √3
Approximation

1.73205080757

TINSpire CAS

3,650,401/2,107,560

Casio Classpad fxCP400

3,650,401/2,107,560

HP Prime

191,861/110,771

Square Root of 5, √5
Approximation

2.2360679775

TINSpire CAS

3,940,598/1,762,289

Casio Classpad fxCP400

16,692,641/7,465,176

HP Prime

219,602/98,209

Euler’s Number, e
Approximation

2.71828182846

TINSpire CAS

14,665,106/5,394,991

Casio Classpad fxCP400

14,665,106/5,394,991

HP Prime

219,602/98,209

The Constant Pi, π
Approximation

3.14159265359

TINSpire CAS

5,149,351/1,725,033

Casio Classpad fxCP400

69,305,155/22,060,516

HP Prime

312,689/99,532

The Constant Pi, π^2
Approximation

9.86960440109

TINSpire CAS

26,140,802/2,648,617

Casio Classpad fxCP400

26,140,802/2,648,617

HP Prime

12,59,401/127,604

The Golden Ratio, Φ = (1 + √5)/2
Approximation

1.61803398875

TINSpire CAS

5,702,887/3,524,578

Casio Classpad fxCP400

5,702,887/3,524,578

HP Prime

121,393/75,025

The Zeta of 3, ζ(3) ≈ 1.20205693015959428539
Approximation

1.20205690316

TINSpire CAS

2,721,755/2,264,248

Casio Classpad fxCP400

2,721,755/2,264,248

HP Prime

927,328/771,451

This blog is property of Edward Shore, 2016
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