Equivalent Fractions Learning

Learn about equivalent fraction here.

Two fractions are equivalent when the value of both the fractions are similar. First we need to simplify fraction and then compare the fractions and if the values are similar, they are equivalent fractions.

Steps to identify equivalent fractions are:
Step 1) Simplify the fractions
Step 2) Reduce to the simplest form
Step 3) Compare the fractions

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Math invented or discovered

Welcome to math forum,

There is a great scene in Kurt Vonnegut's book, _Cat's Cradle_, in
which a hard-core scientist is arguing with his secretary about truth.
He challenges her to say something that is absolutely true, and she
responds by saying "God is love." He looks at her and asks, "What is
'God'? What is 'love'?"

This is the essence of philosophical exposition, as practiced in the
West. examples on help with math; You choose two words whose
definitions aren't agreed upon by
anyone, and then proceed to claim that there is some necessary
relationship between their referents:

Math is [invented | discovered].

continue reading on online math forum.

Inventing math

Welcome to free math tutoring,

Let's begin with your assertion that "You can't 'invent' 1 + 1 = 2; it
just does."

On the contrary,

1 + 1 = 0 in mod(2) arithmetic

1 + 1 = 10 in base(2) arithmetic

1 + 1 = 1 in Boolean arithmetic

1 + 1 = [an arbitrary value] in group theory, depending on
your choice of group.

In fact, '1 + 1 = 2' is a consequence of selecting one particular set
of rules to define one particular formal system. examples on math helper; But there are lots of
other systems that can be defined, and confusing 'Peano arithmetic'
with 'mathematics' is like confusing 'Chess' with 'games'. Learn more on math tutors online.

Math intuition

Welcome to math tutor online free,

we have to be convinced that math really tells the truth. It's
often been pointed out that airplane pilots flying by instruments can
be deceived by their own senses into thinking the plane is upside-down
in a cloud, when it is really right-side up. math forum; If they try to "right"
it, they will be in trouble.

So they have to learn that their
instruments really are reliable. Similarly, if we don't have reason to
believe logic, it will not be able to convince us that our intuitive
answer is wrong. more examples on online math forum.

Quadratic help

Welcome to math tutor online,
The standard quadratic form

ax^2 + bx + c = 0

is exactly equivalent to the quadratic formula

   -b +/- sqrt(b^2 - 4ac)
x = ----------------------
          2a

So you could 'undo' the formula, and then proceed
as I proceeded. similar problems on math forum.


   -b +/- sqrt(b^2 - 4ac)
x = ----------------------
          2a

.
.
.

ax^2 + bx + c = 0

          bx = -ax^2 - c

           b = (-ax^2 - c) / x

But since you _know_ that there is a path from the formula to the
equation, there is no need for you to write it down.
continue learning on online math forum.

Math Non euclidean geometry

Greetings from help in math,

The field of mathematics that deals with this kind of thing is called
'non-Euclidean geometry' because Euclid made some assumptions about
the shape of space, which, it turns out, aren't _necessarily_ true.

If you find this kind of thing interesting, you might want to check
out the book _Flatland_, by Edwin Abbott, math forum; which is a novel about
creatures who live in worlds with different numbers of dimensions.
It's pretty easy to read, and will give you quite a lot to think
about!
more explanation on online math forum.

Pie constant

Welcome to free math tutoring,

On the one hand, that _does_ seem pretty amazing, doesn't it? And it
leads to some pretty bizarre conclusions.

For example, if you tie a string around a beach ball, and you want to
add enough string to make it one inch away from the ball all the way
around, online math forum; you have to add about 6 inches (pi times the increase in the
diameter, two inches) of string.

If you tied a string around the entire earth, and you wanted to add
enough string to lift it one inch off the ground everywhere, you would
have to add the same amount of string -- about 6 inches! learn more on math forum.