I found an answer from reference.wolfram.com

Putting Expressions into Different **Forms**—Wolfram Language ...

Complicated algebraic expressions **can** usually **be** written in many different **ways**.
... a variety of functions for converting expressions from one **form** to **another**. ...
According to Simplify, this is the **simplest way** to write the original expression. ...
with a single variable, **you can** choose to write **it** as a **sum** of terms, a product, and
...

For more information, see Putting Expressions into Different **Forms**—Wolfram Language ...

The biggest trick is to find a common denominator (any common denominator will do).

Let's say we want to do 3/7 + 4/5.

Can we think of a number that can be divided into both sevenths and fifths?

That is 35.

Therefore, 3/7 = 15/35

4/5 = 28/35

Therefore, 3/7 + 4/5 = 15/35 + 28/35 = 43/35

Why should the denominators be the same? Because, having a common denominator makes it easy to add.

How much is 15 thirty-fifths + 28 thirty-fifths?

It's like asking, how much is 15 apples + 28 apples = 43 apples?

Therefore, 15 thirty-fifths + 28 thirty-fifths = 43 thirty-fifths = 43/35.

Hopefully, the following helps.

https://medium.com/i-math/the-no-nonsense-straightforward-da76a4849ec

I found an answer from www.quora.com

**How** do **I add**, divide, multiply and **subtract fractions** with and without ...

Same denominator: **Addition**: **You add** the numerators in the **fraction**. ... **Other**
**Answers** ... **you** are essentially 'converting' the two **fractions** into a **form they can** ...
The **easiest way** to **find** one, is by multiplying the two denominators together. ...
top **answer** of the **fraction**, then denominator **times** denominator **will get you** your
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For more information, see **How** do **I add**, divide, multiply and **subtract fractions** with and without ...

I found an answer from math.stackexchange.com

**How** to multiply, divide, **add** and **subtract fractions**

**You can** write this as: ... Note that this may **be** simplified further, but this is left as
an exercise. ... With **adding** and **subtracting fractions**, **you** need to have the same
... the **fraction** on the left has a more complicated denominator, so **we**'ll try to ...
Then **it's** just **adding** the numerators. ... draft **saved** ... 943 **times**.

For more information, see **How** to multiply, divide, **add** and **subtract fractions**

I found an answer from en.wikipedia.org

Mental calculation - Wikipedia

Mental calculation comprises arithmetical calculations using only the human
brain, with no help .... to **it**. Then **we can subtract** 1000 from 8192 and **obtain** 7192
as the **answer**. Now **we can add** 268 to 7192 to **obtain** 7460 as the **answer**. ... 3
steps to **quickly** multiply numbers of **any** size to one **another** via three unique
**ways**.

For more information, see Mental calculation - Wikipedia

I found an answer from codereview.stackexchange.com

java - Mathematical functions on **fractions** - Code Review Stack ...

Mar 5, 2015 **...** **I get it** that **you**'re writing this in ideone so **you** cannot do this, but for ... What do
**you get** when **you add** a **Fraction** with **another Fraction** ? ... Simply **add** , **subtract** ,
multiply , divide is enough. .... The results should **be** in reduced **form**. .... If this has
a numerator of zero, **we can** just **quickly** return a zero **fraction**.

For more information, see java - Mathematical functions on **fractions** - Code Review Stack ...

I found an answer from math.meta.stackexchange.com

MathJax basic tutorial and **quick** reference - Mathematics Meta Stack ...

And **it** turns out that this operation **can be** frustrating and **time** consuming, which
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**answer**, or in .... Just after \begin{array} the **format** of each column should **be**
listed, use c for a ..... **You can** have a look here for **quick** reference on colors in
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I found an answer from stackoverflow.com

Retain precision with double in Java - Stack Overflow

As has been mentioned several **times** already, Java has a BigDecimal class ...
When **you** print this value out, **it gets** rounded yet again to 17 decimal digits,
giving: ... If **you** just want to process values as **fractions**, **you can** create a **Fraction**
... Write **methods** for **add**, **subtract**, multiply and divide as well as a toDouble
**method**.

For more information, see Retain precision with double in Java - Stack Overflow

I found an answer from blog.wolfram.com

10 Tips for Writing **Fast** Mathematica Code—Wolfram Blog

Dec 7, 2011 **...** Expert, detailed tips on writing optimal Mathematica code to **take** ... On my dual-
core machine **I get** a result 150 **times faster** than the original; the benefit **would be**
even greater with more cores ... cfn2C = Compile[{x}, Block[{**sum** = 1.0, inc ...
That's great when **you** just need to **get** a **quick answer**, but **it will** also ...

For more information, see 10 Tips for Writing **Fast** Mathematica Code—Wolfram Blog

I found an answer from math.stackexchange.com

arithmetic - **Subtraction** when second number is bigger than first ...

May 7, 2015 **...** What **I** do when **I** have to solve this sort of problem is swap the order of the .... But
note that the "places" in your **answer** are all positive. ... So the final **answer will be**
.... what **you** should to at the left edge of the **subtraction** is to **keep** borrowing ...
**Subtracting** this **way will** give **you** a negative number, the **easiest** ...

For more information, see arithmetic - **Subtraction** when second number is bigger than first ...

I found an answer from en.wikipedia.org

**Addition** - Wikipedia

**Addition** is one of the four basic operations of arithmetic; the **others** are
**subtraction**, multiplication and division. The **addition** of two whole numbers is the
total amount of those values combined. For example, in the adjacent picture,
**there** is a combination of three apples ... In algebra, **another** area of mathematics,
**addition can be** performed on ...

For more information, see **Addition** - Wikipedia

I found an answer from infolab.stanford.edu

3 The Running **Time** of Programs

... **we** also need to choose an algorithm that runs **quickly** and uses the **available**
computing ... takes a program to run, although **there** are **other** resources that a
program ... program **can be** used, and running **time** is the main topic of this
chapter. **We** ..... proof, let n0 = 1, and let c **be** the **sum** of all the positive
coefficients among.

For more information, see 3 The Running **Time** of Programs

I found an answer from policies.yahoo.com

Yahoo **Answers**

**You** are not required to **be** logged in to view questions, **answers**, and related
comments. ... and personally identifiable **forms** - including specific questions,
**answers**, ... **We will** use information about your activity on this service to improve
Yahoo ... **You** may **change** this name at **any time** and the name linked to all
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For more information, see Yahoo **Answers**

I found an answer from plato.stanford.edu

Zeno's Paradoxes (Stanford Encyclopedia of Philosophy)

Apr 30, 2002 **...** In **addition** Aristotle attributes two **other** paradoxes to Zeno. ... Before **we** look at
the paradoxes themselves **it will be** useful to sketch some of **their** historical and
logical ... As **we** read the arguments **it** is crucial to **keep** this **method** in mind. ....
Surely this **answer** seems as intuitive as the **sum** of **fractions**. But this ...

For more information, see Zeno's Paradoxes (Stanford Encyclopedia of Philosophy)

I found an answer from stackoverflow.com

Why not use Double or Float to represent currency? - Stack Overflow

For instance, **you could be** looking at 164 * 2^{-4} (an integer **times** a power of ...
Among **others**, Java has the BigDecimal class, and C# has the decimal type. ....
Certainly, when **adding** and **subtracting** non-**fractional** monetary amounts **there**
**will be** ... out several or many decimal places, no matter **how you store** the
numbers.

For more information, see Why not use Double or Float to represent currency? - Stack Overflow