That is called "rationalizing the denominator". It consists of multiplying the numerator and the denominator by specific terms, which include square roots. Examples:* If the denominator is root(2) (that is, the square root of 2), multiply numerator and denominator by root(2).
* If the denominator is root(2) + root(3), multiply numerator and denominator by root(2) - root(3).
Chat with our AI personalities
For a vertical line, just write: x = ... (whatever the y-coordinate of any point on the line) To eliminate a fraction, you multiply both sides of the fraction by the denominator. If there are several fractions, you can multiply by the least common denominator (or by any common denominator, for that matter). For "standard form" ... Well, I believe there are several standard ways to write equations for straight lines.
You divide the numerator of the fraction by its denominator - using long division (aka the bus-stop method) if required.
Yes. One method for dividing fractions is to multiply the numerator fraction by the reciprocal of the denominator fraction.
The recommended method in schools is to write the whole number as a rational fraction with denominator 1, and then proceed as you would for subtracting one fraction from another fraction.
My students call i the C method. Multiply the denominator times the whole number then add the numerator. Put that over the denominator and it is your fraction. 1 2/3=(3x1+2)/3=5/3