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).
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
Divide the numerator by the denominator.
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
To express 76 as a fraction, you can simply write it as 76/1, since any whole number can be represented as that number over 1. This fraction is already in its simplest form because 76 and 1 do not share any common factors other than 1. Therefore, 76 as a fraction is 76/1.
Butterfly or cross multiply method the nominator of the first fraction times the denominator of the second and vise versa.
I use this method. place 0.625/1 move decimal place of numerator three places right; follow with denominator. 625/1000 factor 125*5/125*8 eliminate 125; top and bottom 5/8 simplest fractional form
Use this method. place 4.6/1 move decimal place of numerator the one place needed and follow with the denominator. 46/10 ( factor ) 2*23/2*5 eliminate 2; top and bottom. 23/5 fully reduced
You factor numerator and denominator, and eliminate common factors. For example: 8/12 = (2x2x2) / (2x2x3). Eliminating two 2s from both the numerator and the denominator leaves you with 2/3. Note that this is NOT the most efficient method. Especially for large numbers, Euclid's Algorithm is a much faster way to find the greatest common factor of two numbers.
by cross multiplying is a easy method to use just multiply numerator from a fraction and denominator from another fraction to get the answer on the left side then you switch sides by denominator multiplying numerator to get the answer on the right side of the fraction from the for example 7/8 and 3/4 7x4=28 for 7/8 and 8x3=24 on 3/4 to prove it 7/8 is larger than 3/4