Fraction to degrees - Texas Instruments TI-84 Plus Calculator

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1.6 SAT Math - Special Rules for Grid-Ins ' DOME Prep

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Grid-ins are the questions in which you bubble your own answer. ... numbers must be gridded as improper fractions; Decimals can be rounded or truncated (cut ...

Grid-ins Sample Question 1 - Math.com

Enter the degrees, a decimal point, then two digits for the minutes followed by two digits for the seconds (then followed by any fractional seconds). You can then convert to decimal degrees with the HMS-> function.

For example, to enter 1 degree 36 minutes 24 seconds, press 1 . 3 6 2 4 ALPHA ALPHA "H" "M" "S" right-shift "0" ENTER

Here is some help
180deg is equivalent to Pi radians
Take some angle. Its measure in degrees is say x_deg, Its measure expressed in radians is x_rad.
The fraction of 180 deg that the angle represents is equal to the fraction of PI that this angle represents.
Conclusion: the ratio x_deg/ 180 deg must be equal to the ratio of x_rad/PI
x_deg/180 deg=x_rad/PI

Isolate X-rad in the above equation. Some will tell you to cross multiply.
x_rad=(Pi/180)*x_deg

Application: x_deg=-525 in radians?
x_rad= (PI/180)*(-525)=-(525/180)*PI

Keep the value (525/180) as a fraction reduced to its simplest form. The result is 35/12

Tc = (5/9)*(Tf-32); Tc = temperature in degrees Celsius, Tf = temperature in degrees Fahrenheit.

Not all decimal representations have equivalent fractions. Take pi. Its approximate value as given by the Casio FX9750II is 3.141592654. This is just an approximation because the string of decimal digits in pi has no end. It continues . Such a number that cannot be represented by a ratio of two integers is not rational, not a fraction. It is called irrational.Other such numbers are ?2, ?3,?5, e the base of natural logarithms.
As a matter of principle, if a number is called irrational, it is because it is not rational (not a fraction), and it makes no sense to try to cast it into fraction form.

However, if you truncate an irrational number so as to keep only a finite number of decimal digits, then that truncated number can be represented by a fraction, but qualitatively speaking, it is not the original irrational number.
Thus if you decide to use 3.141500000000000000....0 as an approximate value of pi then you write
3.1415=31415/10000 and the calculator will convert it to the mixed fraction 3u283u2000. To effect this conversion, you press the [FD] key to the right of [a b/c]. If you want an improper fraction 6283u2000 you press [SHIFT][[FD].

As to the value of sin 45 you quote, you should be aware that it is valid for an angle unit in radians.
It is an approximation because the radian unit is based on the value of pi, which, as I said above, is an irrational number.
If you use the degree angle unit, sin45 deg is actually equal to 1/?2 or ?2/2 and this is clearly irrational, and it cannot be represented as a fraction. In conclusion it makes no sense to try to cast it into such form.
On the other hand, sin 30 deg or cos 60 deg are both exactly equal to 1/2. The calculator will convert them to a fraction.

On a more general note, the calculator will always be able to convert a fraction into an approximate decimal number, but the converse may not be possible. It depends on the number of display space available on the screen.

Enter the number of degrees, press DMS, enter the number of minutes, press DMS, enter the number of seconds, press DMS. Press S--D. If you get a fraction, press S--D again.

DMS is the degrees-minutes-seconds button located above the ENG button, S--D is the symbolic--decimal button located above the DEL button.

The FX-115ES is somewhat different to other calculators you might know. The sequence of keys is more like writing up a calculation in a textbook, whereas for "normal" calculators operations are reversed in some places.
For example, with most calculators you would type 30 [sin] to calculate the sine function of 30 degrees, with the 115ES its [sin] 30 [=].

The 115ES has all the standard trigonometric functions:

• Standard functions (sin, cos, tan), type the [sin], [cos] or [tan] key followed by the argument.
• Inverse trigonometric (sin?¹, cos?¹, tan?¹), type [SHIFT][sin], [SHIFT][cos] or [SHIFT][tan] followed by the argument.
• Hyperbolic functions (sinh, cosh, tanh), type [HYP][sin], [HYP][cos], or [HYP][tan] followed by the argument.
• and finally inverse hyperbolic (sinh?¹, cosh?¹, tanh?¹), its [SHIFT][HYP][sin], [SHIFT][HYP][cos], or [SHIFT][HYP][tan] followed by the argument.

Arguments can be given as numbers with mantissa (2.718), as fractions (use the fraction key below [CALC]) or as degree, minute, second (30°12'45") using the [°'"] key for input. To switch between degrees (1 circle = 360°), radians (1 circle = 2?), or grad (1 circle = 400 gon), use [SHIFT][DRG>].

First put the calculator in degree mode.
To convert from fraction to a decimal number first enter your fraction or, mixed number. I'll convert a mixed number to a fraction first since, I don't have a key for the symbol that shows that a number is a fraction on my keyboard. Example: [3][A b/c][1][A b/c][2][A b/cd/e][ENTER]
3/2 should be entered at the home screen. While at the Home screen enter, [2nd][FD][ENTER]
1.5 should now be displayed at the Home screen.
As you can see it is really just using the [A b/c] key to enter in your fraction and, [FD] key to do the converting. The [A_b/cd/e] key isn't necessary because, mixed numbers will convert to decimal numbers just like fractions do. I just don't have the key to show a fraction symbol that the calculator uses. So to show that symbol, I used the / symbol with the fraction number.

Press the SD key (just above DEL). You may have to press it twice if the first press produces a fraction.

Hello,
Look at the column of keys under the ALPHA key. You have the integral, the square root, and then the key that has a degree sign, an apostrophe and a double closing quotation mark. That is the one you use to enter the angle in sexagesimal notation. To simplify my task I will symbolize the key with [DMS], degree, minute , second.
To calculate cos (32° 45')
you press
[COS] 32[DMS]45 [DMS] ) and press [=] The result si 0.841039013
Hope it helps.