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What is an Equation?
An equation says that two things are equal. It will have an equals sign '=' like this:
Note: The Greatest Common Factor (GCF) for 6 and 8, notation gcf(6,8), is 2. Explanation: Factors of 6 are 1,2,3,6; Factors of 8 are 1,2,4,8. So, it is ease see that the 'Greatest Common Factor' or 'Divisor' is 2 because it is the greatest number which divides evenly into all of them. 2 days ago Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Visit Stack Exchange. 6/1 = 6/1 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction. Simplify Fractions Here you can submit another fraction for us to simplify: /. 1/6 cup would be 8 teaspoons because there are 48 tsp. Would also equal 2 Tbs. Since there are 3 teaspoons in a tablespoon. Good luck with whatever recipe you're cutting down! Multiples of 6: 6, 12 The first multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators.
x | + | 2 | = | 6 |
That equations says: what is on the left (x + 2) is equal to what is on the right (6)
So an equation is like a statement 'this equals that'
(Note: this equation has the solution x=4, read how to solve equations.
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What is a Formula?
A formula is a fact or rule that uses mathematical symbols.
It will usually have:
- an equals sign (=)
- two or more variables (x, y, etc) that stand in for values we don't know yet
It shows us how things are related to each other.
Example: The formula for finding the volume of a box is:
V = lwh
V stands for volume, l for length, w for width, and h for height. Messenger mac os x.
When l=10, w=4, and h=5, then:
V = 10 × 4 × 5 = 200
These are all equations, but only some are formulas:
x = 2y - 7 | Formula (relating x and y) |
a2 + b2 = c2 | Formula (relating a, b and c) |
x/2 + 7 = 0 | Not a Formula (just an equation) |
Without the Equals
Mac bowl me over. Sometimes a formula is written without the '=':
Example: The formula for the volume of a box is:
lwh
But in a way the '=' is still there, because we can write V = lwh if we want to.
Subject of a Formula
The 'subject' of a formula is the single variable (usually on the left of the '=') that everything else is equal to.
Example: in the formula
s = ut + ½ at2
's' is the subject of the formula https://baltimore-soft.mystrikingly.com/blog/app-pier-fast-app-launcher-switcher-1-5.
Changing the Subject
A very powerful thing that Algebra can do is to 'rearrange' a formula so that another variable is the subject.
Example: Rearrange the volume of a box formula (V = lwh) so that the width is the subject
So if we want a box with a volume of 12, a length of 2, and a height of 2, we can calculate its width:
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